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53107062912 = 27351707403
BaseRepresentation
bin110001011101011011…
…010111100010000000
312002002010022022200000
4301131123113202000
51332230402003122
640221432400000
73560020405131
oct613533274200
9162063268600
1053107062912
1120582609442
12a361546000
13501469b7a7
1427db245c88
1515ac5360ac
hexc5d6d7880

53107062912 has 96 divisors (see below), whose sum is σ = 158481239280. Its totient is φ = 17702343936.

The previous prime is 53107062907. The next prime is 53107062917. The reversal of 53107062912 is 21926070135.

53107062912 is a `hidden beast` number, since 5 + 3 + 10 + 7 + 0 + 629 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (53107062907) and next prime (53107062917).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×531070629123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (53107062917) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 822598 + ... + 884805.

Almost surely, 253107062912 is an apocalyptic number.

It is an amenable number.

53107062912 is an abundant number, since it is smaller than the sum of its proper divisors (105374176368).

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

53107062912 is an equidigital number, since it uses as much as digits as its factorization.

53107062912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707432 (or 1707408 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 53107062912 in words is "fifty-three billion, one hundred seven million, sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 1707403 3414806 5122209 6829612 10244418 13659224 15366627 20488836 27318448 30733254 40977672 46099881 54636896 61466508 81955344 92199762 109273792 122933016 138299643 163910688 184399524 218547584 245866032 276599286 327821376 368799048 414898929 491732064 553198572 655642752 737598096 829797858 983464128 1106397144 1475196192 1659595716 1966928256 2212794288 2950392384 3319191432 4425588576 5900784768 6638382864 8851177152 13276765728 17702354304 26553531456 53107062912