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150115832256 = 26313439136999
BaseRepresentation
bin1000101111001110011…
…0011101000111000000
3112100110211102101212010
42023303212131013000
54424414123113011
6152543503132520
713563003343425
oct2136346350700
9470424371763
10150115832256
1158733523695
12251155a4140
1311204577360
1473a0d03d4c
153d88d601a6
hex22f399d1c0

150115832256 has 112 divisors (see below), whose sum is σ = 428711360000. Its totient is φ = 46083935232.

The previous prime is 150115832197. The next prime is 150115832257. The reversal of 150115832256 is 652238511051.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150115832257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027245 + ... + 1164243.

It is an arithmetic number, because the mean of its divisors is an integer number (3827780000).

Almost surely, 2150115832256 is an apocalyptic number.

150115832256 is a gapful number since it is divisible by the number (16) 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 150115832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214355680000).

150115832256 is an abundant number, since it is smaller than the sum of its proper divisors (278595527744).

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

150115832256 is a wasteful number, since it uses less digits than its factorization.

150115832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137466 (or 137456 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 150115832256 in words is "one hundred fifty billion, one hundred fifteen million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 439 624 832 878 1248 1317 1756 2496 2634 3512 5268 5707 7024 10536 11414 14048 17121 21072 22828 28096 34242 42144 45656 68484 84288 91312 136968 136999 182624 273936 273998 365248 410997 547872 547996 821994 1095744 1095992 1643988 1780987 2191984 3287976 3561974 4383968 5342961 6575952 7123948 8767936 10685922 13151904 14247896 21371844 26303808 28495792 42743688 56991584 60142561 85487376 113983168 120285122 170974752 180427683 240570244 341949504 360855366 481140488 721710732 781853293 962280976 1443421464 1563706586 1924561952 2345559879 2886842928 3127413172 3849123904 4691119758 5773685856 6254826344 9382239516 11547371712 12509652688 18764479032 25019305376 37528958064 50038610752 75057916128 150115832256