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100674114768 = 2432699125797
BaseRepresentation
bin101110111000010100…
…1010001010011010000
3100121212011002220212100
41131300221101103100
53122140033133033
6114125443400400
710162540566453
oct1356051212320
9317764086770
10100674114768
1139771a05547
1217617683100
139655387a16
144c307bb49a
1529434e7513
hex1770a514d0

100674114768 has 30 divisors (see below), whose sum is σ = 281747696594. Its totient is φ = 33558038208.

The previous prime is 100674114743. The next prime is 100674114787. The reversal of 100674114768 is 867411476001.

100674114768 is a `hidden beast` number, since 100 + 6 + 74 + 1 + 1 + 476 + 8 = 666.

100674114768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80107113024 + 20567001744 = 283032^2 + 143412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 349562755 + ... + 349563042.

Almost surely, 2100674114768 is an apocalyptic number.

100674114768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100674114768 is an abundant number, since it is smaller than the sum of its proper divisors (181073581826).

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

100674114768 is a wasteful number, since it uses less digits than its factorization.

100674114768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699125811 (or 699125802 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 100674114768 in words is "one hundred billion, six hundred seventy-four million, one hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 699125797 1398251594 2097377391 2796503188 4194754782 5593006376 6292132173 8389509564 11186012752 12584264346 16779019128 25168528692 33558038256 50337057384 100674114768