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56460412996 = 22134192372
BaseRepresentation
bin110100100101010011…
…011000100001000100
312101201211020011012021
4310211103120201010
51411112331203441
641534302332524
74036066410031
oct644523304104
9171654204167
1056460412996
1121a43481a49
12ab3858a144
13542a340000
142a3874c388
151706b263d1
hexd254d8844

56460412996 has 135 divisors (see below), whose sum is σ = 116105143329. Its totient is φ = 24019924032.

The previous prime is 56460412969. The next prime is 56460413021. The reversal of 56460412996 is 69921406465.

The square root of 56460412996 is 237614.

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

It can be written as a sum of positive squares in 7 ways, for example, as 45364740100 + 11095672896 = 212990^2 + 105336^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1525957090 + ... + 1525957126.

Almost surely, 256460412996 is an apocalyptic number.

56460412996 is the 237614-th square number.

It is an amenable number.

56460412996 is an abundant number, since it is smaller than the sum of its proper divisors (59644730333).

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

56460412996 is an equidigital number, since it uses as much as digits as its factorization.

56460412996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

It can be divided in two parts, 564604 and 12996, that added together give a square (577600 = 7602).

The spelling of 56460412996 in words is "fifty-six billion, four hundred sixty million, four hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 148 169 247 338 361 481 494 676 703 722 962 988 1369 1406 1444 1924 2197 2738 2812 3211 4394 4693 5476 6253 6422 8788 9139 9386 12506 12844 13357 17797 18278 18772 25012 26011 26714 28561 35594 36556 41743 52022 53428 57122 61009 71188 81289 83486 104044 114244 118807 122018 162578 166972 173641 231361 237614 244036 325156 338143 347282 462722 475228 494209 542659 676286 694564 793117 925444 988418 1056757 1085318 1352572 1544491 1586234 1976836 2113514 2170636 2257333 3007693 3088982 3172468 4227028 4395859 4514666 6015386 6177964 6424717 8791718 9029332 10310521 12030772 12849434 17583436 20078383 20621042 25698868 29345329 39100009 40156766 41242084 57146167 58690658 78200018 80313532 83521321 114292334 117381316 156400036 167042642 228584668 334085284 381489277 742900171 762978554 1085777173 1485800342 1525957108 2171554346 2971600684 4343108692 14115103249 28230206498 56460412996