Search a number
-
+
64713839076 = 223231127563811
BaseRepresentation
bin111100010001001111…
…101101000111100100
320012001000111122022200
4330101033231013210
52030013220322301
645421254054500
74450445361525
oct742117550744
9205030448280
1064713839076
1125499303137
121066064a430
136144225093
1431bc94484c
151a3b4d0c86
hexf113ed1e4

64713839076 has 144 divisors (see below), whose sum is σ = 170701160448. Its totient is φ = 20648779200.

The previous prime is 64713839063. The next prime is 64713839087. The reversal of 64713839076 is 67093831746.

64713839076 is a `hidden beast` number, since 6 + 471 + 3 + 83 + 90 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79794711 + ... + 79795521.

Almost surely, 264713839076 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 64713839076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85350580224).

64713839076 is an abundant number, since it is smaller than the sum of its proper divisors (105987321372).

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

64713839076 is a wasteful number, since it uses less digits than its factorization.

64713839076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 64713839076 in words is "sixty-four billion, seven hundred thirteen million, eight hundred thirty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 372 381 508 558 563 762 811 1116 1126 1143 1524 1622 1689 2252 2286 2433 3244 3378 3937 4572 4866 5067 6756 7299 7874 9732 10134 11811 14598 15748 17453 20268 23622 25141 29196 34906 35433 47244 50282 52359 69812 70866 71501 75423 100564 102997 104718 141732 143002 150846 157077 205994 209436 214503 226269 286004 301692 308991 314154 411988 429006 452538 456593 617982 628308 643509 858012 905076 913186 926973 1235964 1287018 1369779 1826372 1853946 2216531 2574036 2739558 3192907 3707892 4109337 4433062 5479116 6385814 6649593 8218674 8866124 9578721 12771628 13299186 14154383 16437348 19157442 19948779 26598372 28308766 28736163 38314884 39897558 42463149 56617532 57472326 57987311 79795116 84926298 114944652 115974622 127389447 169852596 173961933 231949244 254778894 347923866 509557788 521885799 695847732 1043771598 1797606641 2087543196 3595213282 5392819923 7190426564 10785639846 16178459769 21571279692 32356919538 64713839076