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3980189015712 = 2532713151869239
BaseRepresentation
bin111001111010110101110…
…000001001111010100000
3112002111120012211102111100
4321322311300021322200
51010202411342000322
612244250143514400
7560362536264330
oct71726560117240
915074505742440
103980189015712
1112a4a96a32988
125434792b8a00
1322b43a630520
14da8dc1bb0c0
156d801b28dac
hex39eb5c09ea0

3980189015712 has 144 divisors (see below), whose sum is σ = 13930661646720. Its totient is φ = 1049720173056.

The previous prime is 3980189015641. The next prime is 3980189015729. The reversal of 3980189015712 is 2175109810893.

3980189015712 is a `hidden beast` number, since 398 + 0 + 1 + 8 + 90 + 157 + 12 = 666.

3980189015712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 75908412 + ... + 75960827.

It is an arithmetic number, because the mean of its divisors is an integer number (96740705880).

Almost surely, 23980189015712 is an apocalyptic number.

3980189015712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3980189015712 is an abundant number, since it is smaller than the sum of its proper divisors (9950472631008).

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

3980189015712 is a wasteful number, since it uses less digits than its factorization.

3980189015712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151869275 (or 151869264 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 3980189015712 in words is "three trillion, nine hundred eighty billion, one hundred eighty-nine million, fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 151869239 303738478 455607717 607476956 911215434 1063084673 1214953912 1366823151 1822430868 1974300107 2126169346 2429907824 2733646302 3189254019 3644861736 3948600214 4252338692 4859815648 5467292604 5922900321 6378508038 7289723472 7897200428 8504677384 9567762057 10934585208 11845800642 12757016076 13820100749 14579446944 15794400856 17009354768 17768700963 19135524114 21869170416 23691601284 25514032152 27640201498 31588801712 34018709536 35537401926 38271048228 41460302247 43738340832 47383202568 51028064304 55280402996 63177603424 71074803852 76542096456 82920604494 94766405136 102056128608 110560805992 124380906741 142149607704 153084192912 165841208988 189532810272 221121611984 248761813482 284299215408 306168385824 331682417976 442243223968 497523626964 568598430816 663364835952 995047253928 1326729671904 1990094507856 3980189015712