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891872142330 = 23513191187101399
BaseRepresentation
bin11001111101001111011…
…10001110001111111010
310011021002002210010120210
430332213232032033322
5104103023232023310
61521415335131550
7121302265061331
oct14764756161772
93137062703523
10891872142330
11314271634054
12124a26213bb6
13661458ca680
1431249b58d18
15182edbc7820
hexcfa7b8e3fa

891872142330 has 128 divisors (see below), whose sum is σ = 2428538112000. Its totient is φ = 207805872384.

The previous prime is 891872142283. The next prime is 891872142347. The reversal of 891872142330 is 33241278198.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 891872142330.

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, 8744971 + ... + 8846369.

It is an arithmetic number, because the mean of its divisors is an integer number (18972954000).

Almost surely, 2891872142330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891872142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214269056000).

891872142330 is an abundant number, since it is smaller than the sum of its proper divisors (1536665969670).

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

891872142330 is a wasteful number, since it uses less digits than its factorization.

891872142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102628.

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 891872142330 in words is "eight hundred ninety-one billion, eight hundred seventy-two million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1187 1235 1482 2374 2470 3561 3705 5935 7122 7410 11870 15431 17805 22553 30862 35610 45106 46293 67659 77155 92586 101399 112765 135318 154310 202798 225530 231465 293189 304197 338295 462930 506995 586378 608394 676590 879567 1013990 1318187 1465945 1520985 1759134 1926581 2636374 2931890 3041970 3853162 3954561 4397835 5779743 6590935 7909122 8795670 9632905 11559486 13181870 19265810 19772805 25045553 28898715 39545610 50091106 57797430 75136659 120360613 125227765 150273318 240721226 250455530 361081839 375683295 601803065 722163678 751366590 1203606130 1564687969 1805409195 2286851647 3129375938 3610818390 4573703294 4694063907 6860554941 7823439845 9388127814 11434258235 13721109882 15646879690 22868516470 23470319535 29729071411 34302774705 46940639070 59458142822 68605549410 89187214233 148645357055 178374428466 297290714110 445936071165 891872142330