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152798813963952 = 243131940013221167
BaseRepresentation
bin100010101111100000111111…
…000001110100011010110000
3202001000102110001201111210020
4202233200333001310122300
5130011423432333321302
61300550450040403440
744120231024004432
oct4257407701643260
9661012401644706
10152798813963952
1144760682031362
1215179525776580
136734b35434370
1429a37058d8652
15129e9ab520ebc
hex8af83f0746b0

152798813963952 has 160 divisors (see below), whose sum is σ = 447579489745920. Its totient is φ = 44529398784000.

The previous prime is 152798813963941. The next prime is 152798813964077. The reversal of 152798813963952 is 259369318897251.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45825273 + ... + 49046439.

It is an arithmetic number, because the mean of its divisors is an integer number (2797371810912).

Almost surely, 2152798813963952 is an apocalyptic number.

152798813963952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152798813963952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223789744872960).

152798813963952 is an abundant number, since it is smaller than the sum of its proper divisors (294780675781968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152798813963952 is a wasteful number, since it uses less digits than its factorization.

152798813963952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225211 (or 3225205 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 78.

The spelling of 152798813963952 in words is "one hundred fifty-two trillion, seven hundred ninety-eight billion, eight hundred thirteen million, nine hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 4001 5928 8002 11856 12003 16004 24006 32008 48012 52013 64016 76019 96024 104026 152038 156039 192048 208052 228057 304076 312078 416104 456114 608152 624156 832208 912228 988247 1216304 1248312 1824456 1976494 2496624 2964741 3221167 3648912 3952988 5929482 6442334 7905976 9663501 11858964 12884668 15811952 19327002 23717928 25769336 38654004 41875171 47435856 51538672 61202173 77308008 83750342 122404346 125625513 154616016 167500684 183606519 244808692 251251026 335001368 367213038 489617384 502502052 670002736 734426076 795628249 979234768 1005004104 1468852152 1591256498 2010008208 2386884747 2937704304 3182512996 4773769494 6365025992 9547538988 12730051984 12887889167 19095077976 25775778334 38190155952 38663667501 51551556668 77327335002 103103113336 154654670004 167542559171 206206226672 244869894173 309309340008 335085118342 489739788346 502627677513 618618680016 670170236684 734609682519 979479576692 1005255355026 1340340473368 1469219365038 1958959153384 2010510710052 2680680946736 2938438730076 3183308624249 3917918306768 4021021420104 5876877460152 6366617248498 8042042840208 9549925872747 11753754920304 12733234496996 19099851745494 25466468993992 38199703490988 50932937987984 76399406981976 152798813963952