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53164263006 = 2343153199741
BaseRepresentation
bin110001100000110101…
…100100011001011110
312002020002221101110000
4301200311210121132
51332340022404011
640231234355130
73561313531221
oct614065443136
9162202841400
1053164263006
1120601927748
12a37872baa6
1350234a81ba
142804a955b8
1515b2584356
hexc60d6465e

53164263006 has 80 divisors (see below), whose sum is σ = 125290965888. Its totient is φ = 16826097600.

The previous prime is 53164262969. The next prime is 53164263011. The reversal of 53164263006 is 60036246135.

53164263006 is a `hidden beast` number, since 5 + 3 + 1 + 642 + 6 + 3 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×531642630062 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 166296 + ... + 366036.

Almost surely, 253164263006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53164263006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62645482944).

53164263006 is an abundant number, since it is smaller than the sum of its proper divisors (72126702882).

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

53164263006 is a wasteful number, since it uses less digits than its factorization.

53164263006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199839 (or 199830 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 53164263006 in words is "fifty-three billion, one hundred sixty-four million, two hundred sixty-three thousand, six".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 81 93 106 159 162 186 279 318 477 558 837 954 1431 1643 1674 2511 2862 3286 4293 4929 5022 8586 9858 14787 29574 44361 88722 133083 199741 266166 399482 599223 1198446 1797669 3595338 5393007 6191971 10586273 10786014 12383942 16179021 18575913 21172546 31758819 32358042 37151826 55727739 63517638 95276457 111455478 167183217 190552914 285829371 328174463 334366434 501549651 571658742 656348926 857488113 984523389 1003099302 1714976226 1969046778 2953570167 5907140334 8860710501 17721421002 26582131503 53164263006