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19364058920 = 2354144926297
BaseRepresentation
bin10010000010001100…
…000001011100101000
31211222111220010002102
4102002030001130220
5304124144341140
612521250552532
71253600533163
oct220214013450
954874803072
1019364058920
118237563088
123904b98748
131a97a06b3b
14d19a64ada
15784eede15
hex482301728

19364058920 has 64 divisors (see below), whose sum is σ = 44732898000. Its totient is φ = 7539589120.

The previous prime is 19364058919. The next prime is 19364058949. The reversal of 19364058920 is 2985046391.

It can be written as a sum of positive squares in 8 ways, for example, as 4056925636 + 15307133284 = 63694^2 + 123722^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723212 + ... + 749508.

Almost surely, 219364058920 is an apocalyptic number.

19364058920 is a gapful number since it is divisible by the number (10) 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 19364058920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366449000).

19364058920 is an abundant number, since it is smaller than the sum of its proper divisors (25368839080).

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

19364058920 is a wasteful number, since it uses less digits than its factorization.

19364058920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26798 (or 26794 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The spelling of 19364058920 in words is "nineteen billion, three hundred sixty-four million, fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 449 820 898 1640 1796 2245 3592 4490 8980 17960 18409 26297 36818 52594 73636 92045 105188 131485 147272 184090 210376 262970 368180 525940 736360 1051880 1078177 2156354 4312708 5390885 8625416 10781770 11807353 21563540 23614706 43127080 47229412 59036765 94458824 118073530 236147060 472294120 484101473 968202946 1936405892 2420507365 3872811784 4841014730 9682029460 19364058920