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642805905900 = 223522142686353
BaseRepresentation
bin10010101101010100011…
…01111011100111101100
32021110012020201101021110
421112222031323213230
541012431302442100
61211145001232020
764304221022334
oct11265215734754
92243166641243
10642805905900
112286811a3234
12a46b6492610
1348802127202
142317d3720c4
1511ac2d59250
hex95aa37b9ec

642805905900 has 36 divisors (see below), whose sum is σ = 1859851755272. Its totient is φ = 171414908160.

The previous prime is 642805905871. The next prime is 642805905923. The reversal of 642805905900 is 9509508246.

It is a self number, because there is not a number n which added to its sum of digits gives 642805905900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071342877 + ... + 1071343476.

Almost surely, 2642805905900 is an apocalyptic number.

642805905900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642805905900 is an abundant number, since it is smaller than the sum of its proper divisors (1217045849372).

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

642805905900 is a wasteful number, since it uses less digits than its factorization.

642805905900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142686370 (or 2142686363 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 642805905900 in words is "six hundred forty-two billion, eight hundred five million, nine hundred five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2142686353 4285372706 6428059059 8570745412 10713431765 12856118118 21426863530 25712236236 32140295295 42853727060 53567158825 64280590590 107134317650 128561181180 160701476475 214268635300 321402952950 642805905900