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100747257663420 = 223351731078433501
BaseRepresentation
bin10110111010000100001100…
…100000010100111110111100
3111012201100021121102222002000
4112322010030200110332330
5101201120340430212140
6554134352355502300
730135514651366164
oct2672041440247674
9435640247388060
10100747257663420
112a112743525855
12b3715b08b7990
13442a56c164c24
141ac429c5535a4
15b9aa025c2a30
hex5ba10c814fbc

100747257663420 has 96 divisors (see below), whose sum is σ = 315247681304640. Its totient is φ = 26710640928000.

The previous prime is 100747257663413. The next prime is 100747257663439. The reversal of 100747257663420 is 24366752747001.

100747257663420 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 4 + 7 + 2 + 576 + 63 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539123331 + ... + 539310170.

It is an arithmetic number, because the mean of its divisors is an integer number (3283830013590).

Almost surely, 2100747257663420 is an apocalyptic number.

100747257663420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100747257663420 is an abundant number, since it is smaller than the sum of its proper divisors (214500423641220).

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

100747257663420 is a wasteful number, since it uses less digits than its factorization.

100747257663420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078433692 (or 1078433684 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 100747257663420 in words is "one hundred trillion, seven hundred forty-seven billion, two hundred fifty-seven million, six hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 15570 18684 23355 31140 46710 93420 1078433501 2156867002 3235300503 4313734004 5392167505 6470601006 9705901509 10784335010 12941202012 16176502515 19411803018 21568670020 29117704527 32353005030 38823606036 48529507545 58235409054 64706010060 97059015090 116470818108 145588522635 186568995673 194118030180 291177045270 373137991346 559706987019 582354090540 746275982692 932844978365 1119413974038 1679120961057 1865689956730 2238827948076 2798534935095 3358241922114 3731379913460 5037362883171 5597069870190 6716483844228 8395604805285 10074725766342 11194139740380 16791209610570 20149451532684 25186814415855 33582419221140 50373628831710 100747257663420