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56461413336 = 23317836432593
BaseRepresentation
bin110100100101010111…
…001100101111011000
312101201220002222101220
4310211113030233120
51411113110211321
641534340012040
74036111044336
oct644527145730
9171656088356
1056461413336
1121a43aa5579
12ab38991020
13542a600423
142a3892cb56
151706c729c6
hexd255ccbd8

56461413336 has 128 divisors (see below), whose sum is σ = 151551025920. Its totient is φ = 17466015744.

The previous prime is 56461413301. The next prime is 56461413341. The reversal of 56461413336 is 63331416465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21773256 + ... + 21775848.

It is an arithmetic number, because the mean of its divisors is an integer number (1183992390).

Almost surely, 256461413336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56461413336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75775512960).

56461413336 is an abundant number, since it is smaller than the sum of its proper divisors (95089612584).

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

56461413336 is a wasteful number, since it uses less digits than its factorization.

56461413336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3341 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The spelling of 56461413336 in words is "fifty-six billion, four hundred sixty-one million, four hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 498 643 664 996 1286 1411 1929 1992 2572 2593 2822 3858 4233 5144 5186 5644 7716 7779 8466 10372 10931 11288 15432 15558 16932 20744 21862 31116 32793 33864 43724 44081 53369 62232 65586 87448 88162 106738 131172 132243 160107 176324 213476 215219 262344 264486 320214 352648 426952 430438 528972 640428 645657 860876 907273 1057944 1280856 1291314 1667299 1721752 1814546 2582628 2721819 3334598 3629092 3658723 5001897 5165256 5443638 6669196 7258184 7317446 10003794 10887276 10976169 13338392 14634892 20007588 21774552 21952338 28344083 29269784 40015176 43904676 56688166 85032249 87809352 113376332 138385817 170064498 226752664 276771634 340128996 415157451 553543268 680257992 830314902 1107086536 1660629804 2352558889 3321259608 4705117778 7057676667 9410235556 14115353334 18820471112 28230706668 56461413336