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100550306432 = 273122812909
BaseRepresentation
bin101110110100101000…
…0111110101010000000
3100121112112010210202102
41131221100332222000
53121411334301212
6114105302005532
710156505334302
oct1355120765200
9317475123672
10100550306432
1139709032504
12175a21168a8
139635829554
144c1c18d972
1529376dd5c2
hex176943ea80

100550306432 has 96 divisors (see below), whose sum is σ = 207793293300. Its totient is φ = 48463564800.

The previous prime is 100550306383. The next prime is 100550306501. The reversal of 100550306432 is 234603055001.

It can be written as a sum of positive squares in 2 ways, for example, as 91993316416 + 8556990016 = 303304^2 + 92504^2 .

It is a super-2 number, since 2×1005503064322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100550306395 and 100550306404.

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 11 ways as a sum of consecutive naturals, for example, 34563794 + ... + 34566702.

Almost surely, 2100550306432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100550306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103896646650).

100550306432 is an abundant number, since it is smaller than the sum of its proper divisors (107242986868).

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

100550306432 is an equidigital number, since it uses as much as digits as its factorization.

100550306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 100550306432 in words is "one hundred billion, five hundred fifty million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 281 496 562 961 992 1124 1922 1984 2248 2909 3844 3968 4496 5818 7688 8711 8992 11636 15376 17422 17984 23272 30752 34844 35968 46544 61504 69688 90179 93088 123008 139376 180358 186176 270041 278752 360716 372352 540082 557504 721432 817429 1080164 1115008 1442864 1634858 2160328 2795549 2885728 3269716 4320656 5591098 5771456 6539432 8641312 11182196 11542912 13078864 17282624 22364392 25340299 26157728 34565248 44728784 50680598 52315456 89457568 101361196 104630912 178915136 202722392 357830272 405444784 785549269 810889568 1571098538 1621779136 3142197076 3243558272 6284394152 12568788304 25137576608 50275153216 100550306432