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104535631304 = 231323419771091
BaseRepresentation
bin110000101011011001…
…1110010010111001000
3100222211021020021201022
41201112303302113020
53203042110200204
6120004545212012
710360330130246
oct1412663622710
9328737207638
10104535631304
1140373703025
1218314931008
139b1c3b0450
1450b95a3796
152abc5155be
hex1856cf25c8

104535631304 has 128 divisors (see below), whose sum is σ = 226069159680. Its totient is φ = 44936601600.

The previous prime is 104535631297. The next prime is 104535631307. The reversal of 104535631304 is 403136535401.

It is not an unprimeable number, because it can be changed into a prime (104535631307) 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, 95815799 + ... + 95816889.

It is an arithmetic number, because the mean of its divisors is an integer number (1766165310).

Almost surely, 2104535631304 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 104535631304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113034579840).

104535631304 is an abundant number, since it is smaller than the sum of its proper divisors (121533528376).

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

104535631304 is a wasteful number, since it uses less digits than its factorization.

104535631304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 104535631304 in words is "one hundred four billion, five hundred thirty-five million, six hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 41 46 52 82 92 104 164 184 299 328 533 598 943 977 1066 1091 1196 1886 1954 2132 2182 2392 3772 3908 4264 4364 7544 7816 8728 12259 12701 14183 22471 24518 25093 25402 28366 40057 44731 44942 49036 50186 50804 56732 80114 89462 89884 98072 100372 101608 113464 160228 178924 179768 200744 292123 320456 326209 357848 520741 581503 584246 652418 921311 1028813 1041482 1065907 1163006 1168492 1304836 1842622 2057626 2082964 2131814 2326012 2336984 2609672 3685244 4115252 4165928 4263628 4652024 7370488 8230504 8527256 11977043 13374569 13856791 23954086 24515861 26749138 27713582 43702187 47908172 49031722 53498276 55427164 87404374 95816344 98063444 106996552 110854328 174808748 196126888 318706193 349617496 568128431 637412386 1005150301 1136256862 1274824772 2010300602 2272513724 2549649544 4020601204 4545027448 8041202408 13066953913 26133907826 52267815652 104535631304