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19142602752 = 2123713171953
BaseRepresentation
bin10001110100111111…
…001111000000000000
31211102002011222100010
4101310333033000000
5303201001242002
612443300224520
71245241303320
oct216477170000
954362158303
1019142602752
118133555859
12386299b140
131a60b796a0
14cd8499280
1577085746c
hex474fcf000

19142602752 has 832 divisors, whose sum is σ = 71336401920. Its totient is φ = 4416602112.

The previous prime is 19142602723. The next prime is 19142602783. The reversal of 19142602752 is 25720624191.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 19142602752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361181158 + ... + 361181210.

Almost surely, 219142602752 is an apocalyptic number.

19142602752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19142602752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35668200960).

19142602752 is an abundant number, since it is smaller than the sum of its proper divisors (52193799168).

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

19142602752 is a wasteful number, since it uses less digits than its factorization.

19142602752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 19142602752 in words is "nineteen billion, one hundred forty-two million, six hundred two thousand, seven hundred fifty-two".