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23234035264640 = 27573497303837
BaseRepresentation
bin1010100100001100110000…
…11010110010110010000000
310001021011002212101001102022
411102012120122302302000
511021131301011432030
6121225322441341012
74615414024141544
oct522063032626200
9101234085331368
1023234035264640
117448554218aa2
122732ab3497768
13cc6c63515945
145a4767573a24
152a4585a66de5
hex1521986b2c80

23234035264640 has 64 divisors (see below), whose sum is σ = 56304740538360. Its totient is φ = 9166304305152.

The previous prime is 23234035264639. The next prime is 23234035264667. The reversal of 23234035264640 is 4646253043232.

It can be written as a sum of positive squares in 4 ways, for example, as 22908323077696 + 325712186944 = 4786264^2 + 570712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×232340352646402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23234035264591 and 23234035264600.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 248605199 + ... + 248698638.

Almost surely, 223234035264640 is an apocalyptic number.

23234035264640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234035264640 is an abundant number, since it is smaller than the sum of its proper divisors (33070705273720).

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

23234035264640 is an equidigital number, since it uses as much as digits as its factorization.

23234035264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497303929 (or 497303917 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 44.

The spelling of 23234035264640 in words is "twenty-three trillion, two hundred thirty-four billion, thirty-five million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 365 584 640 730 1168 1460 2336 2920 4672 5840 9344 11680 23360 46720 497303837 994607674 1989215348 2486519185 3978430696 4973038370 7956861392 9946076740 15913722784 19892153480 31827445568 36303180101 39784306960 63654891136 72606360202 79568613920 145212720404 159137227840 181515900505 290425440808 318274455680 363031801010 580850881616 726063602020 1161701763232 1452127204040 2323403526464 2904254408080 4646807052928 5808508816160 11617017632320 23234035264640