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5016453156 = 223211134123767
BaseRepresentation
bin1001010110000000…
…10000000000100100
3110221121100020001100
410223000100000210
540233203000111
62145440000100
7235212101601
oct45300200044
913847306040
105016453156
112144725560
12b80000030
1361c39c7a0
143583456a8
151e5606756
hex12b010024

5016453156 has 144 divisors (see below), whose sum is σ = 15261337728. Its totient is φ = 1368921600.

The previous prime is 5016453133. The next prime is 5016453163. The reversal of 5016453156 is 6513546105.

5016453156 is a `hidden beast` number, since 5 + 0 + 1 + 645 + 3 + 1 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5016453156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199185 + ... + 222951.

It is an arithmetic number, because the mean of its divisors is an integer number (105981512).

Almost surely, 25016453156 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 5016453156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630668864).

5016453156 is an abundant number, since it is smaller than the sum of its proper divisors (10244884572).

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

5016453156 is a wasteful number, since it uses less digits than its factorization.

5016453156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23842 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5016453156 is about 70826.9239484534. The cubic root of 5016453156 is about 1711.8495264907.

The spelling of 5016453156 in words is "five billion, sixteen million, four hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 41 44 52 66 78 82 99 117 123 132 143 156 164 198 234 246 286 369 396 429 451 468 492 533 572 738 858 902 1066 1287 1353 1476 1599 1716 1804 2132 2574 2706 3198 4059 4797 5148 5412 5863 6396 8118 9594 11726 16236 17589 19188 23452 23767 35178 47534 52767 70356 71301 95068 105534 142602 211068 213903 261437 285204 308971 427806 522874 617942 784311 855612 926913 974447 1045748 1235884 1568622 1853826 1948894 2352933 2780739 2923341 3137244 3398681 3707652 3897788 4705866 5561478 5846682 6797362 8770023 9411732 10196043 10718917 11122956 11693364 12667811 13594724 17540046 20392086 21437834 25335622 30588129 32156751 35080092 38003433 40784172 42875668 50671244 61176258 64313502 76006866 96470253 114010299 122352516 128627004 139345921 152013732 192940506 228020598 278691842 385881012 418037763 456041196 557383684 836075526 1254113289 1672151052 2508226578 5016453156