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189395262312 = 233431914871973
BaseRepresentation
bin1011000001100011010…
…1100101101101101000
3200002212021121012012220
42300120311211231220
511100340141343222
6223001301434040
716453251111264
oct2603065455550
9602767535186
10189395262312
117335a762883
123085810b920
1314b24267869
1492499010a4
154dd745eb5c
hex2c18d65b68

189395262312 has 128 divisors (see below), whose sum is σ = 488283586560. Its totient is φ = 61183745280.

The previous prime is 189395262241. The next prime is 189395262349. The reversal of 189395262312 is 213262593981.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95992558 + ... + 95994530.

It is an arithmetic number, because the mean of its divisors is an integer number (3814715520).

Almost surely, 2189395262312 is an apocalyptic number.

189395262312 is a gapful number since it is divisible by the number (12) 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 189395262312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244141793280).

189395262312 is an abundant number, since it is smaller than the sum of its proper divisors (298888324248).

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

189395262312 is a wasteful number, since it uses less digits than its factorization.

189395262312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2699 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 189395262312 in words is "one hundred eighty-nine billion, three hundred ninety-five million, two hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 191 258 344 382 487 516 573 764 974 1032 1146 1461 1528 1948 1973 2292 2922 3896 3946 4584 5844 5919 7892 8213 11688 11838 15784 16426 20941 23676 24639 32852 41882 47352 49278 62823 65704 83764 84839 93017 98556 125646 167528 169678 186034 197112 251292 254517 279051 339356 372068 376843 502584 509034 558102 678712 744136 753686 960851 1018068 1116204 1130529 1507372 1921702 2036136 2232408 2261058 2882553 3014744 3843404 3999731 4522116 5765106 7686808 7999462 9044232 11530212 11999193 15998924 16204249 23060424 23998386 31997848 32408498 41316593 47996772 48612747 64816996 82633186 95993544 97225494 123949779 129633992 165266372 183522541 194450988 247899558 330532744 367045082 388901976 495799116 550567623 734090164 991598232 1101135246 1468180328 2202270492 4404540984 7891469263 15782938526 23674407789 31565877052 47348815578 63131754104 94697631156 189395262312