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104294537064 = 23333714987583
BaseRepresentation
bin110000100100001110…
…0000101011101101000
3100222012110120102121000
41201020130011131220
53202043400141224
6115525013515000
710351341636504
oct1411034053550
9328173512530
10104294537064
114025a602393
1218268042a60
139ab1468533
145095565304
152aa62900c9
hex1848705768

104294537064 has 128 divisors (see below), whose sum is σ = 299537280000. Its totient is φ = 33597856512.

The previous prime is 104294537057. The next prime is 104294537069. The reversal of 104294537064 is 460735492401.

104294537064 is a `hidden beast` number, since 10 + 42 + 9 + 4 + 537 + 0 + 64 = 666.

It is a super-2 number, since 2×1042945370642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104294537069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147017 + ... + 1234599.

It is an arithmetic number, because the mean of its divisors is an integer number (2340135000).

Almost surely, 2104294537064 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 104294537064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149768640000).

104294537064 is an abundant number, since it is smaller than the sum of its proper divisors (195242742936).

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

104294537064 is a wasteful number, since it uses less digits than its factorization.

104294537064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87784 (or 87774 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 104294537064 in words is "one hundred four billion, two hundred ninety-four million, five hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 149 216 222 296 298 333 444 447 596 666 888 894 999 1192 1332 1341 1788 1998 2664 2682 3576 3996 4023 5364 5513 7992 8046 10728 11026 16092 16539 22052 32184 33078 44104 49617 66156 87583 99234 132312 148851 175166 198468 262749 297702 350332 396936 525498 595404 700664 788247 1050996 1190808 1576494 2101992 2364741 3152988 3240571 4729482 6305976 6481142 9458964 9721713 12962284 13049867 18917928 19443426 25924568 26099734 29165139 38886852 39149601 52199468 58330278 77773704 78299202 87495417 104398936 116660556 117448803 156598404 174990834 233321112 234897606 313196808 349981668 352346409 469795212 482845079 699963336 704692818 939590424 965690158 1409385636 1448535237 1931380316 2818771272 2897070474 3862760632 4345605711 5794140948 8691211422 11588281896 13036817133 17382422844 26073634266 34764845688 52147268532 104294537064