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642635155120 = 24571147562777
BaseRepresentation
bin10010101101000000000…
…10100100011010110000
32021102202100102100020111
421112200002210122300
541012104044430440
61211120021351104
764300045455550
oct11264002443260
92242670370214
10642635155120
112285a3878692
12a4669268494
13487a594124a
1423164805160
1511ab2d7b4ea
hex95a00a46b0

642635155120 has 40 divisors (see below), whose sum is σ = 1707573413664. Its totient is φ = 220332052992.

The previous prime is 642635155117. The next prime is 642635155121. The reversal of 642635155120 is 21551536246.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6426351551202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (642635155121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573780829 + ... + 573781948.

Almost surely, 2642635155120 is an apocalyptic number.

It is an amenable number.

642635155120 is an abundant number, since it is smaller than the sum of its proper divisors (1064938258544).

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

642635155120 is a wasteful number, since it uses less digits than its factorization.

642635155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147562797 (or 1147562791 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 642635155120 in words is "six hundred forty-two billion, six hundred thirty-five million, one hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1147562777 2295125554 4590251108 5737813885 8032939439 9180502216 11475627770 16065878878 18361004432 22951255540 32131757756 40164697195 45902511080 64263515512 80329394390 91805022160 128527031024 160658788780 321317577560 642635155120