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18942567424 = 210112172232
BaseRepresentation
bin10001101001000100…
…001010010000000000
31210220010210010110021
4101221010022100000
5302243244124144
612411352543224
71240262111044
oct215104122000
953803703407
1018942567424
118040649300
1238079b1b14
131a2b5ac2a1
14cb9aa8024
1575cee2884
hex46910a400

18942567424 has 297 divisors, whose sum is σ = 46220324521. Its totient is φ = 7751434240.

The previous prime is 18942567409. The next prime is 18942567437. The reversal of 18942567424 is 42476524981.

The square root of 18942567424 is 137632.

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., 14747673600 + 4194893824 = 121440^2 + 64768^2 .

It is a super-2 number, since 2×189425674242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 823589877 + ... + 823589899.

Almost surely, 218942567424 is an apocalyptic number.

18942567424 is the 137632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18942567424

18942567424 is an abundant number, since it is smaller than the sum of its proper divisors (27277757097).

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

18942567424 is a wasteful number, since it uses less digits than its factorization.

18942567424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 18942567424 in words is "eighteen billion, nine hundred forty-two million, five hundred sixty-seven thousand, four hundred twenty-four".