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23434824911364 = 223210691968130941
BaseRepresentation
bin1010101010000010110000…
…11010100000101000000100
310001222100101020111221120200
411111001120122200220010
511032424010134130424
6121501450540330500
74636052544031566
oct525013032405004
9101870336457520
1023434824911364
117515720799499
1227659ab543a30
13100cb823013a9
145b0374487336
152a98d84ba8c9
hex1550586a0a04

23434824911364 has 72 divisors (see below), whose sum is σ = 59298373232280. Its totient is φ = 7803652147200.

The previous prime is 23434824911299. The next prime is 23434824911383. The reversal of 23434824911364 is 46311942843432.

23434824911364 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 4 + 82 + 491 + 13 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7326722931264 + 16108101980100 = 2706792^2 + 4013490^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23434824911364.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757388134 + ... + 757419074.

It is an arithmetic number, because the mean of its divisors is an integer number (823588517115).

Almost surely, 223434824911364 is an apocalyptic number.

It is an amenable number.

23434824911364 is an abundant number, since it is smaller than the sum of its proper divisors (35863548320916).

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

23434824911364 is a wasteful number, since it uses less digits than its factorization.

23434824911364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51701 (or 51696 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 23434824911364 in words is "twenty-three trillion, four hundred thirty-four billion, eight hundred twenty-four million, nine hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1069 2138 3207 4276 6414 9621 12828 19242 19681 30941 38484 39362 59043 61882 78724 92823 118086 123764 177129 185646 236172 278469 354258 371292 556938 708516 1113876 21038989 33075929 42077978 63116967 66151858 84155956 99227787 126233934 132303716 189350901 198455574 252467868 297683361 378701802 396911148 595366722 608949821 757403604 1190733444 1217899642 1826849463 2435799284 3653698926 5480548389 7307397852 10961096778 21922193556 650967358649 1301934717298 1952902075947 2603869434596 3905804151894 5858706227841 7811608303788 11717412455682 23434824911364