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232126606656 = 26347191971709
BaseRepresentation
bin1101100000101111010…
…0101110110101000000
3211012011022011101210000
43120023310232311000
512300343402403111
6254345410440000
722525212413160
oct3301364566500
9735138141700
10232126606656
118a49846629a
1238ba2893000
1318b741596b9
14b340b405a0
156088b1dc56
hex360bd2ed40

232126606656 has 560 divisors, whose sum is σ = 832473417600. Its totient is φ = 62475743232.

The previous prime is 232126606633. The next prime is 232126606667. The reversal of 232126606656 is 656606621232.

232126606656 is a `hidden beast` number, since 2 + 32 + 1 + 2 + 6 + 606 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135825130 + ... + 135826838.

Almost surely, 2232126606656 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 232126606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416236708800).

232126606656 is an abundant number, since it is smaller than the sum of its proper divisors (600346810944).

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

232126606656 is a wasteful number, since it uses less digits than its factorization.

232126606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 232126606656 in words is "two hundred thirty-two billion, one hundred twenty-six million, six hundred six thousand, six hundred fifty-six".