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156993912 = 233217472729
BaseRepresentation
bin10010101101110…
…00100101111000
3101221102010011100
421112320211320
5310142301122
623324531400
73614266125
oct1126704570
9357363140
10156993912
1180689939
12446b0b60
13266aa40a
1416bc974c
15dbb1aac
hex95b8978

156993912 has 96 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 48187392.

The previous prime is 156993911. The next prime is 156993913. The reversal of 156993912 is 219399651.

It is a happy number.

156993912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156993911) and next prime (156993913).

It is a super-3 number, since 3×1569939123 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156993911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56164 + ... + 58892.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2156993912 is an apocalyptic number.

156993912 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 156993912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

156993912 is an abundant number, since it is smaller than the sum of its proper divisors (302956488).

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

156993912 is a wasteful number, since it uses less digits than its factorization.

156993912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2798 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 156993912 is about 12529.7211461389. The cubic root of 156993912 is about 539.4620981108.

It can be divided in two parts, 1569 and 93912, that added together give a square (95481 = 3092).

The spelling of 156993912 in words is "one hundred fifty-six million, nine hundred ninety-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 47 51 68 72 94 102 136 141 153 188 204 282 306 376 408 423 564 612 799 846 1128 1224 1598 1692 2397 2729 3196 3384 4794 5458 6392 7191 8187 9588 10916 14382 16374 19176 21832 24561 28764 32748 46393 49122 57528 65496 92786 98244 128263 139179 185572 196488 256526 278358 371144 384789 417537 513052 556716 769578 835074 1026104 1113432 1154367 1539156 1670148 2180471 2308734 3078312 3340296 4360942 4617468 6541413 8721884 9234936 13082826 17443768 19624239 26165652 39248478 52331304 78496956 156993912