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23416733959056 = 243417279072
BaseRepresentation
bin1010101001100001000100…
…00111000000001110010000
310001220121200110012100110000
411110300202013000032100
511032124432343142211
6121445255444410000
74634542332336444
oct524604207001620
9101817613170400
1023416733959056
117508a87935239
1227623a09a6900
13100b25b2a7599
145ad539942824
152a91ca148656
hex154c221c0390

23416733959056 has 225 divisors, whose sum is σ = 72005197513249. Its totient is φ = 7345497235968.

The previous prime is 23416733959051. The next prime is 23416733959057. The reversal of 23416733959056 is 65095933761432.

The square root of 23416733959056 is 4839084.

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

23416733959056 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 6 + 7 + 3 + 39 + 590 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18231021248400 + 5185712710656 = 4269780^2 + 2277216^2 .

It is a super-2 number, since 2×234167339590562 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23416733958984 and 23416733959002.

It is not an unprimeable number, because it can be changed into a prime (23416733959051) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2961515455 + ... + 2961523361.

Almost surely, 223416733959056 is an apocalyptic number.

23416733959056 is the 4839084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23416733959056

23416733959056 is an abundant number, since it is smaller than the sum of its proper divisors (48588463554193).

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

23416733959056 is an frugal number, since it uses more digits than its factorization.

23416733959056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 23416733959056 in words is "twenty-three trillion, four hundred sixteen billion, seven hundred thirty-three million, nine hundred fifty-nine thousand, fifty-six".