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161563075344 = 243211442123071
BaseRepresentation
bin1001011001110111101…
…0001110001100010000
3120110000121102121021100
42112131322032030100
510121340121402334
6202115425224400
714446453324116
oct2263572161420
9513017377240
10161563075344
1162578164870
122738b192100
131230a044888
147b69355ab6
154308ce5c99
hex259de8e310

161563075344 has 120 divisors (see below), whose sum is σ = 493389921024. Its totient is φ = 48945312000.

The previous prime is 161563075339. The next prime is 161563075361. The reversal of 161563075344 is 443570365161.

161563075344 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 630 + 7 + 5 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×1615630753442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161563075344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6991329 + ... + 7014399.

Almost surely, 2161563075344 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 161563075344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246694960512).

161563075344 is an abundant number, since it is smaller than the sum of its proper divisors (331826845680).

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

161563075344 is a wasteful number, since it uses less digits than its factorization.

161563075344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27517 (or 27508 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 161563075344 in words is "one hundred sixty-one billion, five hundred sixty-three million, seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 4421 8842 13263 17684 23071 26526 35368 39789 46142 48631 53052 69213 70736 79578 92284 97262 106104 138426 145893 159156 184568 194524 207639 212208 253781 276852 291786 318312 369136 389048 415278 437679 507562 553704 583572 636624 761343 778096 830556 875358 1015124 1107408 1167144 1522686 1661112 1750716 2030248 2284029 2334288 3045372 3322224 3501432 4060496 4568058 6090744 7002864 9136116 12181488 18272232 36544464 101996891 203993782 305990673 407987564 611981346 815975128 917972019 1121965801 1223962692 1631950256 1835944038 2243931602 2447925384 3365897403 3671888076 4487863204 4895850768 6731794806 7343776152 8975726408 10097692209 13463589612 14687552304 17951452816 20195384418 26927179224 40390768836 53854358448 80781537672 161563075344