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19060420464 = 24324115720563
BaseRepresentation
bin10001110000000101…
…101110111101110000
31211012100112200102200
4101300011232331300
5303013431423324
612431202543200
71243222620651
oct216005567560
954170480380
1019060420464
1180a1124008
12383b367b00
131a49b33c07
14ccb5c5528
15768521ec9
hex47016ef70

19060420464 has 120 divisors (see below), whose sum is σ = 54994469712. Its totient is φ = 6158730240.

The previous prime is 19060420411. The next prime is 19060420469. The reversal of 19060420464 is 46402406091.

19060420464 is a `hidden beast` number, since 1 + 9 + 0 + 604 + 2 + 0 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19060420469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916647 + ... + 937209.

Almost surely, 219060420464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19060420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27497234856).

19060420464 is an abundant number, since it is smaller than the sum of its proper divisors (35934049248).

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

19060420464 is a wasteful number, since it uses less digits than its factorization.

19060420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775 (or 20766 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 19060420464 in words is "nineteen billion, sixty million, four hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 157 164 246 314 328 369 471 492 628 656 738 942 984 1256 1413 1476 1884 1968 2512 2826 2952 3768 5652 5904 6437 7536 11304 12874 19311 20563 22608 25748 38622 41126 51496 57933 61689 77244 82252 102992 115866 123378 154488 164504 185067 231732 246756 308976 329008 370134 463464 493512 740268 843083 926928 987024 1480536 1686166 2529249 2961072 3228391 3372332 5058498 6456782 6744664 7587747 9685173 10116996 12913564 13489328 15175494 19370346 20233992 25827128 29055519 30350988 38740692 40467984 51654256 58111038 60701976 77481384 116222076 121403952 132364031 154962768 232444152 264728062 397092093 464888304 529456124 794184186 1058912248 1191276279 1588368372 2117824496 2382552558 3176736744 4765105116 6353473488 9530210232 19060420464