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153242829312 = 293148967003
BaseRepresentation
bin1000111010110111111…
…1000000001000000000
3112122112202102022101220
42032231333000020000
510002320131014222
6154222045355040
714033333362056
oct2165577001000
9478482368356
10153242829312
1159a98644881
1225848868a80
13115b2365581
1475ba3281d6
153ebd63cb5c
hex23adfc0200

153242829312 has 80 divisors (see below), whose sum is σ = 408528748320. Its totient is φ = 51045875712.

The previous prime is 153242829287. The next prime is 153242829317. The reversal of 153242829312 is 213928242351.

It is not an unprimeable number, because it can be changed into a prime (153242829317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2253603 + ... + 2320605.

It is an arithmetic number, because the mean of its divisors is an integer number (5106609354).

Almost surely, 2153242829312 is an apocalyptic number.

153242829312 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 153242829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204264374160).

153242829312 is an abundant number, since it is smaller than the sum of its proper divisors (255285919008).

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

153242829312 is an equidigital number, since it uses as much as digits as its factorization.

153242829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68513 (or 68497 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 153242829312 in words is "one hundred fifty-three billion, two hundred forty-two million, eight hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1489 1536 2978 4467 5956 8934 11912 17868 23824 35736 47648 67003 71472 95296 134006 142944 190592 201009 268012 285888 381184 402018 536024 571776 762368 804036 1072048 1143552 1608072 2144096 2287104 3216144 4288192 6432288 8576384 12864576 17152768 25729152 34305536 51458304 99767467 102916608 199534934 299302401 399069868 598604802 798139736 1197209604 1596279472 2394419208 3192558944 4788838416 6385117888 9577676832 12770235776 19155353664 25540471552 38310707328 51080943104 76621414656 153242829312