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23045668864 = 2165932
BaseRepresentation
bin10101011101101000…
…010000000000000000
32012111002111021111021
4111131220100000000
5334144142400424
614330444355224
71444043644651
oct253550200000
965432437437
1023045668864
119856752129
124571b45b14
13223368c06a
1411889b9528
158ed3314e4
hex55da10000

23045668864 has 51 divisors (see below), whose sum is σ = 46168842253. Its totient is φ = 11503403008.

The previous prime is 23045668861. The next prime is 23045668883. The reversal of 23045668864 is 46886654032.

The square root of 23045668864 is 151808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14170521600 + 8875147264 = 119040^2 + 94208^2 .

It is a super-2 number, since 2×230456688642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23045668861) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38862552 + ... + 38863144.

Almost surely, 223045668864 is an apocalyptic number.

23045668864 is the 151808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23045668864

23045668864 is an abundant number, since it is smaller than the sum of its proper divisors (23123173389).

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

23045668864 is an frugal number, since it uses more digits than its factorization.

23045668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 23045668864 in words is "twenty-three billion, forty-five million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 593 1024 1186 2048 2372 4096 4744 8192 9488 16384 18976 32768 37952 65536 75904 151808 303616 351649 607232 703298 1214464 1406596 2428928 2813192 4857856 5626384 9715712 11252768 19431424 22505536 38862848 45011072 90022144 180044288 360088576 720177152 1440354304 2880708608 5761417216 11522834432 23045668864