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232404890016 = 253132311672767
BaseRepresentation
bin1101100001110001101…
…0010011000110100000
3211012212200210122210010
43120130122103012200
512301431122440031
6254433151204520
722535131654005
oct3303432230640
9735780718703
10232404890016
118a620557742
123905bb16740
1318bb99c2900
14b369a9d8ac
1560a328d246
hex361c6931a0

232404890016 has 288 divisors, whose sum is σ = 686241497088. Its totient is φ = 68763202560.

The previous prime is 232404889993. The next prime is 232404890021. The reversal of 232404890016 is 610098404232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83990265 + ... + 83993031.

It is an arithmetic number, because the mean of its divisors is an integer number (2382782976).

Almost surely, 2232404890016 is an apocalyptic number.

232404890016 is a gapful number since it is divisible by the number (26) 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 232404890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343120748544).

232404890016 is an abundant number, since it is smaller than the sum of its proper divisors (453836607072).

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

232404890016 is a wasteful number, since it uses less digits than its factorization.

232404890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 232404890016 in words is "two hundred thirty-two billion, four hundred four million, eight hundred ninety thousand, sixteen".