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23353214976 = 211347213217
BaseRepresentation
bin10101101111111101…
…011100100000000000
32020021112012020110000
4111233331130200000
5340311410334401
614421152240000
71454500023600
oct255775344000
966245166400
1023353214976
1199a4310073
124638b40000
1322822cc800
1411b7794c00
1591a331186
hex56ff5c800

23353214976 has 1080 divisors, whose sum is σ = 93033150210. Its totient is φ = 5796790272.

The previous prime is 23353214953. The next prime is 23353214981. The reversal of 23353214976 is 67941235332.

23353214976 is a `hidden beast` number, since 2 + 3 + 3 + 532 + 1 + 49 + 76 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15123096576 + 8230118400 = 122976^2 + 90720^2 .

Its product of digits (816480) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 1373718520 + ... + 1373718536.

Almost surely, 223353214976 is an apocalyptic number.

23353214976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23353214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46516575105).

23353214976 is an abundant number, since it is smaller than the sum of its proper divisors (69679935234).

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

23353214976 is a wasteful number, since it uses less digits than its factorization.

23353214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 42 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 23353214976 in words is "twenty-three billion, three hundred fifty-three million, two hundred fourteen thousand, nine hundred seventy-six".