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56411273296 = 24719377110091
BaseRepresentation
bin110100100010010111…
…111011100001010000
312101121101202121012101
4310202113323201100
51411012241221141
641525345210144
74034631624430
oct644227734120
9171541677171
1056411273296
1121a18769624
12ab24030954
1354200c6371
142a31dda2c0
15170266b531
hexd225fb850

56411273296 has 160 divisors (see below), whose sum is σ = 136954091520. Its totient is φ = 21968755200.

The previous prime is 56411273287. The next prime is 56411273363. The reversal of 56411273296 is 69237211465.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5585211 + ... + 5595301.

It is an arithmetic number, because the mean of its divisors is an integer number (855963072).

Almost surely, 256411273296 is an apocalyptic number.

56411273296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56411273296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68477045760).

56411273296 is an abundant number, since it is smaller than the sum of its proper divisors (80542818224).

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

56411273296 is a wasteful number, since it uses less digits than its factorization.

56411273296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233 (or 10227 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The spelling of 56411273296 in words is "fifty-six billion, four hundred eleven million, two hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 71 74 76 112 133 142 148 152 259 266 284 296 304 497 518 532 568 592 703 994 1036 1064 1136 1349 1406 1988 2072 2128 2627 2698 2812 3976 4144 4921 5254 5396 5624 7952 9443 9842 10091 10508 10792 11248 18389 18886 19684 20182 21016 21584 36778 37772 39368 40364 42032 49913 70637 73556 75544 78736 80728 99826 141274 147112 151088 161456 191729 199652 282548 294224 349391 373367 383458 399304 565096 698782 716461 746734 766916 798608 1130192 1342103 1397564 1432922 1493468 1533832 2613569 2684206 2795128 2865844 2986936 3067664 5015227 5227138 5368412 5590256 5731688 5973872 7093973 10030454 10454276 10736824 11463376 13612759 14187946 20060908 20908552 21473648 26509057 27225518 28375892 40121816 41817104 49657811 53018114 54451036 56751784 80243632 95289313 99315622 106036228 108902072 113503568 185563399 190578626 198631244 212072456 217804144 371126798 381157252 397262488 424144912 503672083 742253596 762314504 794524976 1007344166 1484507192 1524629008 2014688332 2969014384 3525704581 4029376664 7051409162 8058753328 14102818324 28205636648 56411273296