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23955924681441 = 361812772
BaseRepresentation
bin1010111001001101011000…
…11000011000001011100001
310010211011102120200001000000
411130212230120120023201
511114443213204301231
6122541111101050213
75021521101013014
oct534465430301341
9103734376601000
1023955924681441
1176a6717a534a5
12282a99a856969
13104a059926bcc
145cb689a7137b
152b82366a76e6
hex15c9ac6182e1

23955924681441 has 21 divisors (see below), whose sum is σ = 35917654483651. Its totient is φ = 15970528353672.

The previous prime is 23955924681347. The next prime is 23955924681443. The reversal of 23955924681441 is 14418642955932.

It is a happy number.

The square root of 23955924681441 is 4894479.

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

23955924681441 is a `hidden beast` number, since 2 + 3 + 9 + 559 + 2 + 4 + 68 + 14 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8191816758225 + 15764107923216 = 2862135^2 + 3970404^2 .

It is not a de Polignac number, because 23955924681441 - 27 = 23955924681313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23955924681443) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 132060295 + ... + 132241571.

Almost surely, 223955924681441 is an apocalyptic number.

23955924681441 is the 4894479-th square number.

23955924681441 is the 2447240-th centered octagonal number.

It is an amenable number.

23955924681441 is a deficient number, since it is larger than the sum of its proper divisors (11961729802210).

23955924681441 is an frugal number, since it uses more digits than its factorization.

23955924681441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362572 (or 181280 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 23955924681441 in words is "twenty-three trillion, nine hundred fifty-five billion, nine hundred twenty-four million, six hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 243 729 181277 543831 1631493 4894479 14683437 44050311 132150933 32861350729 98584052187 295752156561 887256469683 2661769409049 7985308227147 23955924681441