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69257922561 = 312194
BaseRepresentation
bin100000010000000011…
…0000000100000000001
320121202201000000000000
41000200012000200001
52113320012010221
651452221350213
75001163425402
oct1004006004001
9217681000000
1069257922561
1127410323333
121150a408369
1366b9794c89
1434d02479a9
151c053cae26
hex1020180801

69257922561 has 65 divisors (see below), whose sum is σ = 109658264321. Its totient is φ = 43741845828.

The previous prime is 69257922553. The next prime is 69257922563. The reversal of 69257922561 is 16522975296.

The square root of 69257922561 is 263169.

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

69257922561 is a `hidden beast` number, since 6 + 9 + 2 + 5 + 79 + 2 + 2 + 561 = 666.

69257922561 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 69257922561 - 23 = 69257922553 is a prime.

It is a Duffinian number.

Its product of digits (4082400) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 69257922498 and 69257922507.

It is not an unprimeable number, because it can be changed into a prime (69257922563) by changing a digit.

It is a polite number, since it can be written in 64 ways as a sum of consecutive naturals, for example, 3645153810 + ... + 3645153828.

Almost surely, 269257922561 is an apocalyptic number.

69257922561 is the 263169-th square number.

69257922561 is the 131585-th centered octagonal number.

It is an amenable number.

69257922561 is a deficient number, since it is larger than the sum of its proper divisors (40400341760).

69257922561 is an frugal number, since it uses more digits than its factorization.

69257922561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 22 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 69257922561 in words is "sixty-nine billion, two hundred fifty-seven million, nine hundred twenty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 19 27 57 81 171 243 361 513 729 1083 1539 2187 3249 4617 6561 6859 9747 13851 19683 20577 29241 41553 59049 61731 87723 124659 130321 177147 185193 263169 373977 390963 531441 555579 789507 1121931 1172889 1666737 2368521 3365793 3518667 5000211 7105563 10097379 10556001 15000633 21316689 31668003 45001899 63950067 95004009 135005697 191850201 285012027 405017091 855036081 1215051273 2565108243 3645153819 7695324729 23085974187 69257922561