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56121819156 = 223213337355841
BaseRepresentation
bin110100010001000111…
…110000000000010100
312100212020002210202200
4310101013300000110
51404414141203111
641440525204500
74024515410004
oct642107600024
9170766083680
1056121819156
112188a338427
12aa63100730
1353a514b720
142a057b0004
1516d7042256
hexd111f0014

56121819156 has 72 divisors (see below), whose sum is σ = 153229835304. Its totient is φ = 17216962560.

The previous prime is 56121819121. The next prime is 56121819191. The reversal of 56121819156 is 65191812165.

56121819156 is a `hidden beast` number, since 5 + 612 + 1 + 8 + 19 + 15 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56121819121) and next prime (56121819191).

It can be written as a sum of positive squares in 4 ways, for example, as 9688464900 + 46433354256 = 98430^2 + 215484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20205 + ... + 335636.

It is an arithmetic number, because the mean of its divisors is an integer number (2128192157).

Almost surely, 256121819156 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 56121819156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76614917652).

56121819156 is an abundant number, since it is smaller than the sum of its proper divisors (97108016148).

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

56121819156 is a wasteful number, since it uses less digits than its factorization.

56121819156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356201 (or 356196 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The spelling of 56121819156 in words is "fifty-six billion, one hundred twenty-one million, eight hundred nineteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 337 468 674 1011 1348 2022 3033 4044 4381 6066 8762 12132 13143 17524 26286 39429 52572 78858 157716 355841 711682 1067523 1423364 2135046 3202569 4270092 4625933 6405138 9251866 12810276 13877799 18503732 27755598 41633397 55511196 83266794 119918417 166533588 239836834 359755251 479673668 719510502 1079265753 1439021004 1558939421 2158531506 3117878842 4317063012 4676818263 6235757684 9353636526 14030454789 18707273052 28060909578 56121819156