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100396982816 = 2513376522673
BaseRepresentation
bin101110110000000100…
…0000110001000100000
3100121010211122011021222
41131200020012020200
53121103111422231
6114042143434212
710152634162544
oct1354010061040
9317124564258
10100396982816
113963a530179
121755a8b5968
13960cb35910
144c05a7ba24
15292900427b
hex1760206220

100396982816 has 48 divisors (see below), whose sum is σ = 218613941784. Its totient is φ = 45084708864.

The previous prime is 100396982801. The next prime is 100396982827. The reversal of 100396982816 is 618289693001.

It can be written as a sum of positive squares in 4 ways, for example, as 95270995600 + 5125987216 = 308660^2 + 71596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3245945 + ... + 3276728.

Almost surely, 2100396982816 is an apocalyptic number.

100396982816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100396982816 is an abundant number, since it is smaller than the sum of its proper divisors (118216958968).

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

100396982816 is a wasteful number, since it uses less digits than its factorization.

100396982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522733 (or 6522725 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 100396982816 in words is "one hundred billion, three hundred ninety-six million, nine hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 6522673 13045346 26090692 52181384 84794749 104362768 169589498 208725536 241338901 339178996 482677802 678357992 965355604 1356715984 1930711208 2713431968 3137405713 3861422416 6274811426 7722844832 12549622852 25099245704 50198491408 100396982816