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108042470306472 = 233131634139513283
BaseRepresentation
bin11000100100001110011001…
…000100000011001010101000
3112011112202111112002001001210
4120210032121010003022220
5103130131434344301342
61021442005312513120
731520545063620132
oct3044163104031250
9464482445061053
10108042470306472
1131475610910249
121014b43084b7a0
134839490823460
141c973d7b80052
15c7567502e79c
hex6243991032a8

108042470306472 has 128 divisors (see below), whose sum is σ = 292739415897600. Its totient is φ = 33031840165632.

The previous prime is 108042470306467. The next prime is 108042470306497. The reversal of 108042470306472 is 274603074240801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210236343 + ... + 210749625.

It is an arithmetic number, because the mean of its divisors is an integer number (2287026686700).

Almost surely, 2108042470306472 is an apocalyptic number.

108042470306472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108042470306472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146369707948800).

108042470306472 is an abundant number, since it is smaller than the sum of its proper divisors (184696945591128).

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

108042470306472 is a wasteful number, since it uses less digits than its factorization.

108042470306472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517607 (or 517603 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 108042470306472 in words is "one hundred eight trillion, forty-two billion, four hundred seventy million, three hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 163 312 326 489 652 978 1304 1956 2119 3912 4139 4238 6357 8278 8476 12417 12714 16556 16952 24834 25428 33112 49668 50856 53807 99336 107614 161421 215228 322842 430456 513283 645684 674657 1026566 1291368 1349314 1539849 2023971 2053132 2698628 3079698 4047942 4106264 5397256 6159396 6672679 8095884 8770541 12318792 13345358 16191768 17541082 20018037 26311623 26690716 35082164 40036074 52623246 53381432 70164328 80072148 83665129 105246492 160144296 167330258 210492984 250995387 334660516 501990774 669321032 1003981548 1087646677 2007963096 2124478337 2175293354 3262940031 4248956674 4350586708 6373435011 6525880062 8497913348 8701173416 12746870022 13051760124 16995826696 25493740044 26103520248 27618218381 50987480088 55236436762 82854655143 110472873524 165709310286 220945747048 331418620572 346289968931 662837241144 692579937862 1038869906793 1385159875724 2077739813586 2770319751448 4155479627172 4501769596103 8310959254344 9003539192206 13505308788309 18007078384412 27010617576618 36014156768824 54021235153236 108042470306472