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56433803364 = 22321741372
BaseRepresentation
bin110100100011101101…
…111000000001100100
312101122222011020122100
4310203231320001210
51411034023201424
641531512132100
74035324261651
oct644355700144
9171588136570
1056433803364
1121a2a457814
12ab2b697030
135424984273
142a34dc2c28
15170461bdc9
hexd23b78064

56433803364 has 135 divisors (see below), whose sum is σ = 152682173917. Its totient is φ = 17575491072.

The previous prime is 56433803341. The next prime is 56433803369. The reversal of 56433803364 is 46330833465.

The square root of 56433803364 is 237558.

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

56433803364 is a `hidden beast` number, since 56 + 433 + 80 + 33 + 64 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 639584100 + 55794219264 = 25290^2 + 236208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56433803369) 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, 411925504 + ... + 411925640.

Almost surely, 256433803364 is an apocalyptic number.

56433803364 is the 237558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56433803364

56433803364 is an abundant number, since it is smaller than the sum of its proper divisors (96248370553).

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

56433803364 is an equidigital number, since it uses as much as digits as its factorization.

56433803364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 56433803364 in words is "fifty-six billion, four hundred thirty-three million, eight hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 289 306 411 548 578 612 822 867 1156 1233 1644 1734 2329 2466 2601 3468 4658 4913 4932 5202 6987 9316 9826 10404 13974 14739 18769 19652 20961 27948 29478 37538 39593 41922 44217 56307 58956 75076 79186 83521 83844 88434 112614 118779 158372 167042 168921 176868 225228 237558 250563 319073 334084 337842 356337 475116 501126 638146 673081 675684 712674 751689 957219 1002252 1276292 1346162 1425348 1503378 1914438 2019243 2692324 2871657 3006756 3828876 4038486 5424241 5743314 6057729 8076972 10848482 11442377 11486628 12115458 16272723 21696964 22884754 24230916 32545446 34327131 45769508 48818169 65090892 68654262 92212097 97636338 102981393 137308524 184424194 195272676 205962786 276636291 368848388 411925572 553272582 829908873 1106545164 1567605649 1659817746 3135211298 3319635492 4702816947 6270422596 9405633894 14108450841 18811267788 28216901682 56433803364