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642709868100 = 223522142366227
BaseRepresentation
bin10010101101001000111…
…11100100111001000100
32021102221120000011011220
421112210133210321010
541012232211234400
61211131251000340
764301643511626
oct11264437447104
92242846004156
10642709868100
11228631a68653
12a468a2990b0
13487b8270001
14231706d2c16
1511ab96d87a0
hex95a47e4e44

642709868100 has 36 divisors (see below), whose sum is σ = 1859573885904. Its totient is φ = 171389298080.

The previous prime is 642709868077. The next prime is 642709868111. The reversal of 642709868100 is 1868907246.

It is a super-2 number, since 2×6427098681002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071182814 + ... + 1071183413.

It is an arithmetic number, because the mean of its divisors is an integer number (51654830164).

Almost surely, 2642709868100 is an apocalyptic number.

642709868100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642709868100 is an abundant number, since it is smaller than the sum of its proper divisors (1216864017804).

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

642709868100 is a wasteful number, since it uses less digits than its factorization.

642709868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142366244 (or 2142366237 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 642709868100 in words is "six hundred forty-two billion, seven hundred nine million, eight hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2142366227 4284732454 6427098681 8569464908 10711831135 12854197362 21423662270 25708394724 32135493405 42847324540 53559155675 64270986810 107118311350 128541973620 160677467025 214236622700 321354934050 642709868100