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23806205412768 = 25349184492829
BaseRepresentation
bin1010110100110110100000…
…11010101100010110100000
310010021211222101110011010000
411122123100122230112200
511110020102041202033
6122344230401340000
75004640651146312
oct532332032542640
9103254871404100
1023806205412768
117649178368a09
122805976037600
131038bb9589c7c
145c43256b97b2
152b43c257ca13
hex15a6d06ac5a0

23806205412768 has 60 divisors (see below), whose sum is σ = 70013388843090. Its totient is φ = 7935401803392.

The previous prime is 23806205412719. The next prime is 23806205412791. The reversal of 23806205412768 is 86721450260832.

23806205412768 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 6 + 20 + 541 + 2 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22467713760144 + 1338491652624 = 4740012^2 + 1156932^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4592243823 + ... + 4592249006.

Almost surely, 223806205412768 is an apocalyptic number.

It is an amenable number.

23806205412768 is an abundant number, since it is smaller than the sum of its proper divisors (46207183430322).

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

23806205412768 is an equidigital number, since it uses as much as digits as its factorization.

23806205412768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184492851 (or 9184492834 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 23806205412768 in words is "twenty-three trillion, eight hundred six billion, two hundred five million, four hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 9184492829 18368985658 27553478487 36737971316 55106956974 73475942632 82660435461 110213913948 146951885264 165320870922 220427827896 247981306383 293903770528 330641741844 440855655792 495962612766 661283483688 743943919149 881711311584 991925225532 1322566967376 1487887838298 1983850451064 2645133934752 2975775676596 3967700902128 5951551353192 7935401804256 11903102706384 23806205412768