Search a number
-
+
463255725117172 = 2213223294027255133
BaseRepresentation
bin110100101010101000010000…
…0111011111000111011110100
32020202020210222222211212000011
41221111100200323320323310
5441204440211112222142
64321132424145430004
7166402056503644501
oct15125204073707364
92222223888755004
10463255725117172
1112467571685aa19
1243b5a09103b304
1316b64a9ab3b600
1482579a7b824a8
153885527b7a417
hex1a55420ef8ef4

463255725117172 has 144 divisors (see below), whose sum is σ = 947849588864640. Its totient is φ = 197412209938944.

The previous prime is 463255725117071. The next prime is 463255725117197. The reversal of 463255725117172 is 271711527552364.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815614518 + ... + 1815869650.

It is an arithmetic number, because the mean of its divisors is an integer number (6582288811560).

Almost surely, 2463255725117172 is an apocalyptic number.

It is an amenable number.

463255725117172 is an abundant number, since it is smaller than the sum of its proper divisors (484593863747468).

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

463255725117172 is a wasteful number, since it uses less digits than its factorization.

463255725117172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259242 (or 259227 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 58.

The spelling of 463255725117172 in words is "four hundred sixty-three trillion, two hundred fifty-five billion, seven hundred twenty-five million, one hundred seventeen thousand, one hundred seventy-two".

Divisors: 1 2 4 13 23 26 29 46 52 58 92 116 169 299 338 377 598 667 676 754 1196 1334 1508 2668 3887 4027 4901 7774 8054 8671 9802 15548 16108 17342 19604 34684 52351 92621 104702 112723 116783 185242 209404 225446 233566 255133 370484 450892 467132 510266 680563 1020532 1204073 1361126 1518179 2408146 2686009 2722252 3036358 3316729 4816292 5372018 5868059 6072716 6633458 7398857 10744036 11736118 13266916 14797714 15652949 19736327 23472236 29595428 31305898 34918117 39472654 43117477 62611796 69836234 76284767 78945308 86234954 96185141 139672468 152569534 170173711 172469908 192370282 305139068 340347422 384740564 453935521 680694844 907871042 991701971 1027420591 1250406833 1815742084 1983403942 2054841182 2212258243 2500813666 3966807884 4109682364 4424516486 5001627332 8849032972 13356467683 23630673593 26712935366 28759357159 29795197139 47261347186 53425870732 57518714318 59590394278 94522694372 115037428636 119180788556 173634079879 307198756709 347268159758 387337562807 614397513418 685289534197 694536319516 774675125614 1228795026836 1370579068394 1549350251228 2741158136788 3993583837217 5035388316491 7987167674434 8908763944561 10070776632982 15974335348868 17817527889122 20141553265964 35635055778244 115813931279293 231627862558586 463255725117172