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100919074644 = 2232102116572
BaseRepresentation
bin101110111111100111…
…1101101111101010100
3100122111020001011122100
41131333033231331110
53123140240342034
6114210034002100
710201603660263
oct1357717557524
9318436034570
10100919074644
1139888206523
1217685716330
1396940542ab
144c551445da
152959c83099
hex177f3edf54

100919074644 has 54 divisors (see below), whose sum is σ = 255505045614. Its totient is φ = 33586462080.

The previous prime is 100919074631. The next prime is 100919074661. The reversal of 100919074644 is 446470919001.

100919074644 is a `hidden beast` number, since 10 + 0 + 91 + 90 + 7 + 464 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6085872144 + 94833202500 = 78012^2 + 307950^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100919074644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60903864 + ... + 60905520.

Almost surely, 2100919074644 is an apocalyptic number.

It is an amenable number.

100919074644 is an abundant number, since it is smaller than the sum of its proper divisors (154585970970).

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

100919074644 is a wasteful number, since it uses less digits than its factorization.

100919074644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100919074644 in words is "one hundred billion, nine hundred nineteen million, seventy-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1021 1657 2042 3063 3314 4084 4971 6126 6628 9189 9942 12252 14913 18378 19884 29826 36756 59652 1691797 2745649 3383594 5075391 5491298 6767188 8236947 10150782 10982596 15226173 16473894 20301564 24710841 30452346 32947788 49421682 60904692 98843364 2803307629 5606615258 8409922887 11213230516 16819845774 25229768661 33639691548 50459537322 100919074644