Search a number
-
+
3984601474008 = 23321633313102481
BaseRepresentation
bin111001111110111100110…
…000010110001111011000
3112002220221201122112100200
4321332330300112033120
51010240430434132013
612250300050102200
7560610065461251
oct71767460261730
915086851575320
103984601474008
1112a6950721131
125442aab7a960
1322b991835cac
14dabda219b28
156d9ae1c3e73
hex39fbcc163d8

3984601474008 has 96 divisors (see below), whose sum is σ = 10861218629040. Its totient is φ = 1319640698880.

The previous prime is 3984601473971. The next prime is 3984601474069. The reversal of 3984601474008 is 8004741064893.

3984601474008 is a `hidden beast` number, since 3 + 98 + 4 + 6 + 0 + 147 + 400 + 8 = 666.

It is a congruent number.

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, 38830128 + ... + 38932608.

Almost surely, 23984601474008 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 3984601474008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430609314520).

3984601474008 is an abundant number, since it is smaller than the sum of its proper divisors (6876617155032).

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

3984601474008 is a wasteful number, since it uses less digits than its factorization.

3984601474008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105969 (or 105962 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3984601474008 in words is "three trillion, nine hundred eighty-four billion, six hundred one million, four hundred seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3313 3912 5868 6626 9939 11736 13252 19878 26504 29817 39756 59634 79512 102481 119268 204962 238536 307443 409924 540019 614886 819848 922329 1080038 1229772 1620057 1844658 2160076 2459544 3240114 3689316 4320152 4860171 6480228 7378632 9720342 12960456 16704403 19440684 33408806 38881368 50113209 66817612 100226418 133635224 150339627 200452836 300679254 339519553 400905672 601358508 679039106 1018558659 1202717016 1358078212 2037117318 2716156424 3055675977 4074234636 6111351954 8148469272 12222703908 24445407816 55341687139 110683374278 166025061417 221366748556 332050122834 442733497112 498075184251 664100245668 996150368502 1328200491336 1992300737004 3984601474008