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5127063084 = 223211131099137
BaseRepresentation
bin1001100011001100…
…01100011000101100
3111020022110210100100
410301212030120230
541000012004314
62204430431100
7241024213533
oct46146143054
914208423310
105127063084
1121a1103420
12bb1062490
13639289650
14368cd931a
152001a4c09
hex13198c62c

5127063084 has 144 divisors (see below), whose sum is σ = 15367191840. Its totient is φ = 1420830720.

The previous prime is 5127063077. The next prime is 5127063127. The reversal of 5127063084 is 4803607215.

5127063084 is a `hidden beast` number, since 5 + 12 + 7 + 0 + 630 + 8 + 4 = 666.

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

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, 556564 + ... + 565700.

It is an arithmetic number, because the mean of its divisors is an integer number (106716610).

Almost surely, 25127063084 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 5127063084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683595920).

5127063084 is an abundant number, since it is smaller than the sum of its proper divisors (10240128756).

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

5127063084 is a wasteful number, since it uses less digits than its factorization.

5127063084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5127063084 is about 71603.5130702398. The cubic root of 5127063084 is about 1724.3399375068.

The spelling of 5127063084 in words is "five billion, one hundred twenty-seven million, sixty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 109 117 132 143 156 198 218 234 286 327 396 429 436 468 572 654 858 981 1199 1287 1308 1417 1716 1962 2398 2574 2834 3597 3924 4251 4796 5148 5668 7194 8502 9137 10791 12753 14388 15587 17004 18274 21582 25506 27411 31174 36548 43164 46761 51012 54822 62348 82233 93522 100507 109644 118781 140283 164466 187044 201014 237562 280566 301521 328932 356343 402028 475124 561132 603042 712686 904563 995933 1069029 1206084 1306591 1425372 1809126 1991866 2138058 2613182 2987799 3618252 3919773 3983732 4276116 5226364 5975598 7839546 8963397 10955263 11759319 11951196 12947129 15679092 17926794 21910526 23518638 25894258 32865789 35853588 38841387 43821052 47037276 51788516 65731578 77682774 98597367 116524161 131463156 142418419 155365548 197194734 233048322 284836838 394389468 427255257 466096644 569673676 854510514 1281765771 1709021028 2563531542 5127063084