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632514460032104 = 2313223155313097683
BaseRepresentation
bin1000111111010001001011111…
…1101101001001110001101000
310001221112210101020202020101112
42033310102333231021301220
51130401104103232011404
610121125044224405452
7250141442651404106
oct21764227755116150
93057483336666345
10632514460032104
111735a1970085431
125ab35658a76888
13211c1b1c339c00
14b229c12914c76
154d1d2452ab56e
hex23f44bfb49c68

632514460032104 has 96 divisors (see below), whose sum is σ = 1340908405663680. Its totient is φ = 279057326625792.

The previous prime is 632514460032083. The next prime is 632514460032137. The reversal of 632514460032104 is 401230064415236.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41743247 + ... + 54840929.

It is an arithmetic number, because the mean of its divisors is an integer number (13967795892330).

Almost surely, 2632514460032104 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 632514460032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670454202831840).

632514460032104 is an abundant number, since it is smaller than the sum of its proper divisors (708393945631576).

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

632514460032104 is a wasteful number, since it uses less digits than its factorization.

632514460032104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099291 (or 13099274 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 632514460032104 in words is "six hundred thirty-two trillion, five hundred fourteen billion, four hundred sixty million, thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 598 676 1196 1352 1553 2392 3106 3887 6212 7774 12424 15548 20189 31096 35719 40378 71438 80756 142876 161512 262457 285752 464347 524914 928694 1049828 1857388 2099656 3714776 6036511 12073022 13097683 24146044 26195366 48292088 52390732 104781464 170269879 301246709 340539758 602493418 681079516 1204986836 1362159032 2213508427 2409973672 3916207217 4427016854 7832414434 8854033708 15664828868 17708067416 20340701699 31329657736 40681403398 50910693821 81362806796 101821387642 162725613592 203642775284 264429122087 407285550568 467836139077 528858244174 935672278154 1057716488348 1871344556308 2115432976696 3437578587131 3742689112616 6081869808001 6875157174262 12163739616002 13750314348524 24327479232004 27500628697048 48654958464008 79064307504013 158128615008026 316257230016052 632514460032104