Search a number
-
+
29967466140162 = 23259293118181547
BaseRepresentation
bin1101101000001010110000…
…01011001001001000000010
310221002212021020111102212100
412310011120023021020002
512411441332312441122
6143422510333411230
76212035514215665
oct664053013111002
9127085236442770
1029967466140162
119604149427691
12343ba8b939b16
131394bc6120c05
1475860c5d96dc
1536e7c89d6aac
hex1b41582c9202

29967466140162 has 96 divisors (see below), whose sum is σ = 66312282778560. Its totient is φ = 9777926436480.

The previous prime is 29967466140149. The next prime is 29967466140173. The reversal of 29967466140162 is 26104166476992.

It is a happy number.

29967466140162 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 7 + 4 + 6 + 614 + 0 + 1 + 6 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29967466140162.

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, 367446273 + ... + 367527819.

It is an arithmetic number, because the mean of its divisors is an integer number (690752945610).

Almost surely, 229967466140162 is an apocalyptic number.

29967466140162 is an abundant number, since it is smaller than the sum of its proper divisors (36344816638398).

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

29967466140162 is a wasteful number, since it uses less digits than its factorization.

29967466140162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83088 (or 83085 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 29967466140162 in words is "twenty-nine trillion, nine hundred sixty-seven billion, four hundred sixty-six million, one hundred forty thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 59 118 177 293 354 531 586 879 1062 1181 1758 2362 2637 3543 5274 7086 10629 17287 21258 34574 51861 69679 81547 103722 139358 155583 163094 209037 244641 311166 346033 418074 489282 627111 692066 733923 1038099 1254222 1467846 2076198 3114297 4811273 6228594 9622546 14433819 20415947 23893271 28867638 40831894 43301457 47786542 61247841 71679813 86602914 96307007 122495682 143359626 183743523 192614014 215039439 288921021 367487046 430078878 577842042 866763063 1409702989 1733526126 2819405978 4229108967 5682113413 8458217934 11364226826 12687326901 17046340239 25374653802 28217953051 34092680478 51139020717 56435906102 84653859153 102278041434 169307718306 253961577459 507923154918 1664859230009 3329718460018 4994577690027 9989155380054 14983733070081 29967466140162