Search a number
-
+
108980630354160 = 243251371104832019
BaseRepresentation
bin11000110001111000000111…
…110000100111100011110000
3112021212110001111201101201200
4120301320013300213203300
5103241014312332313120
61023441002130331200
731645406420505045
oct3061700760474360
9467773044641650
10108980630354160
11317a7475796734
1210281214729b00
1348a6aa20c3b26
141cca99521b1cc
15c8ec82746e90
hex631e07c278f0

108980630354160 has 120 divisors (see below), whose sum is σ = 368664767761680. Its totient is φ = 28849373654016.

The previous prime is 108980630354119. The next prime is 108980630354227. The reversal of 108980630354160 is 61453036089801.

108980630354160 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 0 + 6 + 30 + 3 + 541 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 108980630354097 and 108980630354106.

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, 552317370 + ... + 552514649.

It is an arithmetic number, because the mean of its divisors is an integer number (3072206398014).

Almost surely, 2108980630354160 is an apocalyptic number.

108980630354160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108980630354160 is an abundant number, since it is smaller than the sum of its proper divisors (259684137407520).

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

108980630354160 is a wasteful number, since it uses less digits than its factorization.

108980630354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104832175 (or 1104832166 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 108980630354160 in words is "one hundred eight trillion, nine hundred eighty billion, six hundred thirty million, three hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 548 685 720 822 1096 1233 1370 1644 2055 2192 2466 2740 3288 4110 4932 5480 6165 6576 8220 9864 10960 12330 16440 19728 24660 32880 49320 98640 1104832019 2209664038 3314496057 4419328076 5524160095 6628992114 8838656152 9943488171 11048320190 13257984228 16572480285 17677312304 19886976342 22096640380 26515968456 33144960570 39773952684 44193280760 49717440855 53031936912 66289921140 79547905368 88386561520 99434881710 132579842280 151361986603 159095810736 198869763420 265159684560 302723973206 397739526840 454085959809 605447946412 756809933015 795479053680 908171919618 1210895892824 1362257879427 1513619866030 1816343839236 2270429799045 2421791785648 2724515758854 3027239732060 3632687678472 4540859598090 5449031517708 6054479464120 6811289397135 7265375356944 9081719196180 10898063035416 12108958928240 13622578794270 18163438392360 21796126070832 27245157588540 36326876784720 54490315177080 108980630354160