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191231994756 = 2231117243116579
BaseRepresentation
bin1011001000011001010…
…0001010101110000100
3200021121021201212110110
42302012110022232010
511113120342313011
6223503433153020
716546623064335
oct2620624125604
9607537655413
10191231994756
1174112526080
123108b25b770
13150579490aa
14938181a28c
154e93821ba6
hex2c8650ab84

191231994756 has 144 divisors (see below), whose sum is σ = 529120247040. Its totient is φ = 53271482880.

The previous prime is 191231994697. The next prime is 191231994757. The reversal of 191231994756 is 657499132191.

It is a super-2 number, since 2×1912319947562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 191231994696 and 191231994705.

It is not an unprimeable number, because it can be changed into a prime (191231994757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582075 + ... + 1698653.

It is an arithmetic number, because the mean of its divisors is an integer number (3674446160).

Almost surely, 2191231994756 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 191231994756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264560123520).

191231994756 is an abundant number, since it is smaller than the sum of its proper divisors (337888252284).

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

191231994756 is a wasteful number, since it uses less digits than its factorization.

191231994756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116674 (or 116655 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 57.

The spelling of 191231994756 in words is "one hundred ninety-one billion, two hundred thirty-one million, nine hundred ninety-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 43 44 51 66 68 86 102 129 132 172 187 204 258 289 374 473 516 561 578 731 748 867 946 1122 1156 1419 1462 1734 1892 2193 2244 2838 2924 3179 3468 4386 5676 6358 8041 8772 9537 12427 12716 16082 19074 24123 24854 32164 37281 38148 48246 49708 74562 96492 116579 136697 149124 233158 273394 349737 410091 466316 546788 699474 820182 1282369 1398948 1640364 1981843 2564738 3847107 3963686 5012897 5129476 5945529 7694214 7927372 10025794 11891058 15038691 15388428 20051588 21800273 23782116 30077382 33691331 43600546 55141867 60154764 65400819 67382662 85219249 87201092 101073993 110283734 130801638 134765324 165425601 170438498 202147986 220567468 255657747 261603276 330851202 340876996 370604641 404295972 511315494 661702404 741209282 937411739 1022630988 1111813923 1448727233 1482418564 1874823478 2223627846 2812235217 2897454466 3749646956 4346181699 4447255692 5624470434 5794908932 8692363398 11248940868 15935999563 17384726796 31871999126 47807998689 63743998252 95615997378 191231994756