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23315896960 = 27536431089
BaseRepresentation
bin10101101101101111…
…000101101010000000
32020011220222021202021
4111231233011222000
5340222332200320
614413340331224
71453534565656
oct255557055200
966156867667
1023315896960
119985241534
124628543b14
132277664945
1411b283cdd6
15916e0ddaa
hex56dbc5a80

23315896960 has 32 divisors (see below), whose sum is σ = 55739567700. Its totient is φ = 9326358528.

The previous prime is 23315896939. The next prime is 23315896991. The reversal of 23315896960 is 6969851332.

It can be written as a sum of positive squares in 2 ways, for example, as 20950825536 + 2365071424 = 144744^2 + 48632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 23315896898 and 23315896907.

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 3 ways as a sum of consecutive naturals, for example, 18214905 + ... + 18216184.

Almost surely, 223315896960 is an apocalyptic number.

23315896960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23315896960 is an abundant number, since it is smaller than the sum of its proper divisors (32423670740).

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

23315896960 is an equidigital number, since it uses as much as digits as its factorization.

23315896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36431108 (or 36431096 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 23315896960 in words is "twenty-three billion, three hundred fifteen million, eight hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 36431089 72862178 145724356 182155445 291448712 364310890 582897424 728621780 1165794848 1457243560 2331589696 2914487120 4663179392 5828974240 11657948480 23315896960