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19197765136 = 24112472672
BaseRepresentation
bin10001111000010001…
…101010011000010000
31211112220222111220101
4101320101222120100
5303304111441021
612452550422144
71246511211514
oct217021523020
954486874811
1019197765136
118161702100
123879361954
131a6c421754
14d01938144
15775601a91
hex47846a610

19197765136 has 135 divisors (see below), whose sum is σ = 42405669327. Its totient is φ = 8413120320.

The previous prime is 19197765131. The next prime is 19197765211. The reversal of 19197765136 is 63156779191.

The square root of 19197765136 is 138556.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19197765131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 286533775 + ... + 286533841.

Almost surely, 219197765136 is an apocalyptic number.

19197765136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19197765136 is the 138556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19197765136

19197765136 is an abundant number, since it is smaller than the sum of its proper divisors (23207904191).

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

19197765136 is an equidigital number, since it uses as much as digits as its factorization.

19197765136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 55.

The spelling of 19197765136 in words is "nineteen billion, one hundred ninety-seven million, seven hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 47 67 88 94 121 134 176 188 242 268 376 484 517 536 737 752 968 1034 1072 1474 1936 2068 2209 2948 3149 4136 4418 4489 5687 5896 6298 8107 8272 8836 8978 11374 11792 12596 16214 17672 17956 22748 24299 25192 32428 34639 35344 35912 45496 48598 49379 50384 64856 69278 71824 90992 97196 98758 129712 138556 148003 194392 197516 210983 267289 277112 296006 381029 388784 395032 421966 534578 543169 554224 592012 762058 790064 843932 1069156 1086338 1184024 1524116 1628033 1687864 2138312 2172676 2320813 2368048 3048232 3256066 3375728 4276624 4345352 4641626 6096464 6512132 8690704 9283252 9916201 13024264 17908363 18566504 19832402 25528943 26048528 35816726 37133008 39664804 51057886 71633452 79329608 102115772 109078211 143266904 158659216 204231544 218156422 286533808 408463088 436312844 872625688 1199860321 1745251376 2399720642 4799441284 9598882568 19197765136