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56462042120 = 235111011498527
BaseRepresentation
bin110100100101011001…
…100110010000001000
312101201221021220221012
4310211121212100020
51411113240321440
641534401303052
74036116303461
oct644531462010
9171657256835
1056462042120
1121a44394a30
12ab39034a88
13542a7906a3
142a38a53d68
151706d48e65
hexd25666408

56462042120 has 128 divisors (see below), whose sum is σ = 140916672000. Its totient is φ = 20189568000.

The previous prime is 56462042111. The next prime is 56462042129. The reversal of 56462042120 is 2124026465.

It is an interprime number because it is at equal distance from previous prime (56462042111) and next prime (56462042129).

It is not an unprimeable number, because it can be changed into a prime (56462042129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6617297 + ... + 6625823.

It is an arithmetic number, because the mean of its divisors is an integer number (1100911500).

Almost surely, 256462042120 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 56462042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70458336000).

56462042120 is an abundant number, since it is smaller than the sum of its proper divisors (84454629880).

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

56462042120 is a wasteful number, since it uses less digits than its factorization.

56462042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 56462042120 its reverse (2124026465), we get a palindrome (58586068585).

The spelling of 56462042120 in words is "fifty-six billion, four hundred sixty-two million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 149 202 220 298 404 440 505 596 745 808 1010 1111 1192 1490 1639 2020 2222 2980 3278 4040 4444 5555 5960 6556 8195 8527 8888 11110 13112 15049 16390 17054 22220 30098 32780 34108 42635 44440 60196 65560 68216 75245 85270 93797 120392 150490 165539 170540 187594 300980 331078 341080 375188 468985 601960 662156 750376 827695 861227 937970 1270523 1324312 1655390 1722454 1875940 2541046 3310780 3444908 3751880 4306135 5082092 6352615 6621560 6889816 8612270 9473497 10164184 12705230 13975753 17224540 18946994 25410460 27951506 34449080 37893988 47367485 50820920 55903012 69878765 75787976 94734970 111806024 128322823 139757530 189469940 256645646 279515060 378939880 513291292 559030120 641614115 1026582584 1283228230 1411551053 2566456460 2823102106 5132912920 5646204212 7057755265 11292408424 14115510530 28231021060 56462042120