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23454296640 = 263258143853
BaseRepresentation
bin10101110101111111…
…000010101001000000
32020112120101201102100
4111311333002221000
5341013244443030
614435202550400
71460135142405
oct256577025100
966476351370
1023454296640
119a46380235
124666968400
13229a231748
1411c6d882ac
1592414b360
hex575fc2a40

23454296640 has 84 divisors (see below), whose sum is σ = 80673017724. Its totient is φ = 6254478336.

The previous prime is 23454296617. The next prime is 23454296641. The reversal of 23454296640 is 4669245432.

23454296640 is a `hidden beast` number, since 2 + 3 + 4 + 542 + 9 + 66 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13177203264 + 10277093376 = 114792^2 + 101376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23454296641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4069047 + ... + 4074806.

Almost surely, 223454296640 is an apocalyptic number.

23454296640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23454296640 is an abundant number, since it is smaller than the sum of its proper divisors (57218721084).

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

23454296640 is a wasteful number, since it uses less digits than its factorization.

23454296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143876 (or 8143863 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 23454296640 in words is "twenty-three billion, four hundred fifty-four million, two hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8143853 16287706 24431559 32575412 40719265 48863118 65150824 73294677 81438530 97726236 122157795 130301648 146589354 162877060 195452472 244315590 260603296 293178708 325754120 366473385 390904944 488631180 521206592 586357416 651508240 732946770 781809888 977262360 1172714832 1303016480 1465893540 1563619776 1954524720 2345429664 2606032960 2931787080 3909049440 4690859328 5863574160 7818098880 11727148320 23454296640