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100420446555 = 325111315605353
BaseRepresentation
bin101110110000110000…
…1100110100101011011
3100121012110210020111100
41131201201212211123
53121130113242210
6114044342402443
710153340466132
oct1354141464533
9317173706440
10100420446555
11396517a68a0
1217566730423
13961495c7a0
144c08c28919
15292b0db5c0
hex176186695b

100420446555 has 48 divisors (see below), whose sum is σ = 204492558816. Its totient is φ = 44943413760.

The previous prime is 100420446541. The next prime is 100420446583. The reversal of 100420446555 is 555644024001.

100420446555 is a `hidden beast` number, since 100 + 42 + 0 + 4 + 465 + 55 = 666.

It is not a de Polignac number, because 100420446555 - 221 = 100418349403 is a prime.

It is a super-2 number, since 2×1004204465552 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7796242 + ... + 7809111.

It is an arithmetic number, because the mean of its divisors is an integer number (4260261642).

Almost surely, 2100420446555 is an apocalyptic number.

100420446555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100420446555 is an abundant number, since it is smaller than the sum of its proper divisors (104072112261).

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

100420446555 is a wasteful number, since it uses less digits than its factorization.

100420446555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15605388 (or 15605385 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 100420446555 in words is "one hundred billion, four hundred twenty million, four hundred forty-six thousand, five hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 15605353 46816059 78026765 140448177 171658883 202869589 234080295 514976649 608608767 702240885 858294415 1014347945 1544929947 1825826301 2231565479 2574883245 3043043835 6694696437 7724649735 9129131505 11157827395 20084089311 33473482185 100420446555