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64129976910 = 236523393761
BaseRepresentation
bin111011101110011100…
…011100101001001110
320010112022212101000000
4323232130130221032
52022314233230120
645243315545130
74430125544466
oct735634345116
9203468771000
1064129976910
112521977791a
1210518bbb1a6
1360802899cc
14316519cba6
151a050ee990
hexeee71ca4e

64129976910 has 112 divisors (see below), whose sum is σ = 173191795920. Its totient is φ = 17089470720.

The previous prime is 64129976863. The next prime is 64129976927. The reversal of 64129976910 is 1967992146.

It is a happy number.

It is a super-2 number, since 2×641299769102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17049430 + ... + 17053190.

Almost surely, 264129976910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64129976910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86595897960).

64129976910 is an abundant number, since it is smaller than the sum of its proper divisors (109061819010).

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

64129976910 is a wasteful number, since it uses less digits than its factorization.

64129976910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 64129976910 in words is "sixty-four billion, one hundred twenty-nine million, nine hundred seventy-six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2339 2430 3645 3761 4678 7017 7290 7522 11283 11695 14034 18805 21051 22566 23390 33849 35085 37610 42102 56415 63153 67698 70170 101547 105255 112830 126306 169245 189459 203094 210510 304641 315765 338490 378918 507735 568377 609282 631530 913923 947295 1015470 1136754 1523205 1705131 1827846 1894590 2741769 2841885 3046410 3410262 4569615 5483538 5683770 8525655 8796979 9139230 13708845 17051310 17593958 26390937 27417690 43984895 52781874 79172811 87969790 131954685 158345622 237518433 263909370 395864055 475036866 712555299 791728110 1187592165 1425110598 2137665897 2375184330 3562776495 4275331794 6412997691 7125552990 10688329485 12825995382 21376658970 32064988455 64129976910