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48088668481008 = 2431963727827417
BaseRepresentation
bin10101110111100100001000…
…00000001010010111110000
320022021020020222200221121220
422323302010000022113300
522300341043112343013
6250135343533345040
713062202014523041
oct1273620400122760
9208236228627556
1048088668481008
1114360320763481
125487aa5938180
1320aa98518b71c
14bc370ac8c8c8
15585d6b194b23
hex2bbc8400a5f0

48088668481008 has 80 divisors (see below), whose sum is σ = 130769641873920. Its totient is φ = 15185638660608.

The previous prime is 48088668480997. The next prime is 48088668481079. The reversal of 48088668481008 is 80018486688084.

It is a super-3 number, since 3×480886684810083 (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57705316 + ... + 58532732.

It is an arithmetic number, because the mean of its divisors is an integer number (1634620523424).

Almost surely, 248088668481008 is an apocalyptic number.

48088668481008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48088668481008 is an abundant number, since it is smaller than the sum of its proper divisors (82680973392912).

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

48088668481008 is a wasteful number, since it uses less digits than its factorization.

48088668481008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891174 (or 891168 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 69.

The spelling of 48088668481008 in words is "forty-eight trillion, eighty-eight billion, six hundred sixty-eight million, four hundred eighty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 63727 127454 191181 254908 382362 509816 764724 827417 1019632 1210813 1529448 1654834 2421626 2482251 3058896 3309668 3632439 4843252 4964502 6619336 7264878 9686504 9929004 13238672 14529756 15720923 19373008 19858008 29059512 31441846 39716016 47162769 58119024 62883692 94325538 125767384 188651076 251534768 377302152 754604304 52728803159 105457606318 158186409477 210915212636 316372818954 421830425272 632745637908 843660850544 1001847260021 1265491275816 2003694520042 2530982551632 3005541780063 4007389040084 6011083560126 8014778080168 12022167120252 16029556160336 24044334240504 48088668481008