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20676712100 = 225211107175673
BaseRepresentation
bin10011010000011011…
…011001011010100100
31222100222212210201212
4103100123121122210
5314321214241400
613255421410552
71331250103322
oct232033313244
958328783655
1020676712100
118850512920
124010709a58
131c469521b5
14100211ad12
1581038d335
hex4d06d96a4

20676712100 has 72 divisors (see below), whose sum is σ = 49405150368. Its totient is φ = 7448492800.

The previous prime is 20676712099. The next prime is 20676712127. The reversal of 20676712100 is 121767602.

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, 29864 + ... + 205536.

It is an arithmetic number, because the mean of its divisors is an integer number (686182644).

Almost surely, 220676712100 is an apocalyptic number.

20676712100 is a gapful number since it is divisible by the number (20) 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 20676712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24702575184).

20676712100 is an abundant number, since it is smaller than the sum of its proper divisors (28728438268).

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

20676712100 is a wasteful number, since it uses less digits than its factorization.

20676712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175805 (or 175798 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 20676712100 in words is "twenty billion, six hundred seventy-six million, seven hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 175673 351346 702692 878365 1756730 1932403 3513460 3864806 4391825 7729612 8783650 9662015 17567300 18797011 19324030 37594022 38648060 48310075 75188044 93985055 96620150 187970110 193240300 206767121 375940220 413534242 469925275 827068484 939850550 1033835605 1879701100 2067671210 4135342420 5169178025 10338356050 20676712100