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64122200316 = 22331633642479
BaseRepresentation
bin111011101101111110…
…110010000011111100
320010111210020021112000
4323231332302003330
52022310240402231
645242441142300
74430002465266
oct735576620374
9203453207460
1064122200316
1125215346189
121051648a990
13607b796185
143164136b36
151a045b56e6
hexeedfb20fc

64122200316 has 48 divisors (see below), whose sum is σ = 167262681600. Its totient is φ = 21242931696.

The previous prime is 64122200309. The next prime is 64122200333. The reversal of 64122200316 is 61300222146.

64122200316 is a `hidden beast` number, since 641 + 2 + 2 + 2 + 0 + 0 + 3 + 16 = 666.

It is a super-2 number, since 2×641222003162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 64122200316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803636 + ... + 1838843.

It is an arithmetic number, because the mean of its divisors is an integer number (3484639200).

Almost surely, 264122200316 is an apocalyptic number.

It is an amenable number.

64122200316 is an abundant number, since it is smaller than the sum of its proper divisors (103140481284).

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

64122200316 is a wasteful number, since it uses less digits than its factorization.

64122200316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642655 (or 3642647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 64122200316 in words is "sixty-four billion, one hundred twenty-two million, two hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2934 4401 5868 8802 17604 3642479 7284958 10927437 14569916 21854874 32782311 43709748 65564622 98346933 131129244 196693866 393387732 593724077 1187448154 1781172231 2374896308 3562344462 5343516693 7124688924 10687033386 16030550079 21374066772 32061100158 64122200316