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56183694961 = 1727321912
BaseRepresentation
bin110100010100110011…
…110010011001110001
312101000112112102102011
4310110303302121301
51410031011214321
641451015322521
74026166345642
oct642463623161
9171015472364
1056183694961
112191125a659
12aa7b980441
1353b4c04424
142a0dab96c9
1516dc6b5ae1
hexd14cf2671

56183694961 has 27 divisors (see below), whose sum is σ = 60830275233. Its totient is φ = 51881345280.

The previous prime is 56183694949. The next prime is 56183694971. The reversal of 56183694961 is 16949638165.

It is a happy number.

The square root of 56183694961 is 237031.

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

56183694961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7094861361 + 49088833600 = 84231^2 + 221560^2 .

It is not a de Polignac number, because 56183694961 - 215 = 56183662193 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56183694896 and 56183694905.

It is not an unprimeable number, because it can be changed into a prime (56183694971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294155376 + ... + 294155566.

Almost surely, 256183694961 is an apocalyptic number.

56183694961 is the 237031-st square number.

56183694961 is the 118516-th centered octagonal number.

It is an amenable number.

56183694961 is a deficient number, since it is larger than the sum of its proper divisors (4646580272).

56183694961 is an frugal number, since it uses more digits than its factorization.

56183694961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 58.

The spelling of 56183694961 in words is "fifty-six billion, one hundred eighty-three million, six hundred ninety-four thousand, nine hundred sixty-one".

Divisors: 1 17 73 191 289 1241 3247 5329 13943 21097 36481 55199 90593 237031 620177 1017839 1540081 2663113 4029527 10543009 17303263 45272921 194407249 294155471 769639657 3304923233 56183694961