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205258151112 = 233753122918757
BaseRepresentation
bin1011111100101001010…
…1101101010011001000
3201121210210102102210220
42333022111231103020
511330332041313422
6234143322310040
720554326332430
oct2771225552310
9647723372726
10205258151112
117a05a969a33
1233944658320
13164817b55b1
149d125812c0
155514dbee5c
hex2fca56d4c8

205258151112 has 128 divisors (see below), whose sum is σ = 598035052800. Its totient is φ = 57488790528.

The previous prime is 205258151101. The next prime is 205258151171. The reversal of 205258151112 is 211151852502.

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, 10933638 + ... + 10952394.

It is an arithmetic number, because the mean of its divisors is an integer number (4672148850).

Almost surely, 2205258151112 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 205258151112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299017526400).

205258151112 is an abundant number, since it is smaller than the sum of its proper divisors (392776901688).

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

205258151112 is a wasteful number, since it uses less digits than its factorization.

205258151112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20055 (or 20051 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

The spelling of 205258151112 in words is "two hundred five billion, two hundred fifty-eight million, one hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1229 1272 1484 2226 2458 2968 3687 4452 4916 7374 8603 8904 9832 14748 17206 18757 25809 29496 34412 37514 51618 56271 65137 68824 75028 103236 112542 130274 131299 150056 195411 206472 225084 260548 262598 390822 393897 450168 455959 521096 525196 781644 787794 911918 994121 1050392 1367877 1563288 1575588 1823836 1988242 2735754 2982363 3151176 3647672 3976484 5471508 5964726 6958847 7952968 10943016 11929452 13917694 20876541 23052353 23858904 27835388 41753082 46104706 55670776 69157059 83506164 92209412 138314118 161366471 167012328 184418824 276628236 322732942 484099413 553256472 645465884 968198826 1221774709 1290931768 1936397652 2443549418 3665324127 3872795304 4887098836 7330648254 8552422963 9774197672 14661296508 17104845926 25657268889 29322593016 34209691852 51314537778 68419383704 102629075556 205258151112