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232907043936 = 25371015416343
BaseRepresentation
bin1101100011101001010…
…1110111010001100000
3211021011200200201110110
43120322111313101200
512303443200401221
6254555050131320
722553440131420
oct3307225672140
9737150621413
10232907043936
118a858a55386
1239180120b40
1318c69a501c8
14b3b6656480
1560d23ce776
hex363a577460

232907043936 has 192 divisors, whose sum is σ = 707054939136. Its totient is φ = 65753856000.

The previous prime is 232907043913. The next prime is 232907043947. The reversal of 232907043936 is 639340709232.

232907043936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2329070439362 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 36715581 + ... + 36721923.

It is an arithmetic number, because the mean of its divisors is an integer number (3682577808).

Almost surely, 2232907043936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232907043936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353527469568).

232907043936 is an abundant number, since it is smaller than the sum of its proper divisors (474147895200).

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

232907043936 is a wasteful number, since it uses less digits than its factorization.

232907043936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 232907043936 in words is "two hundred thirty-two billion, nine hundred seven million, forty-three thousand, nine hundred thirty-six".