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161600515164 = 2232113126350053
BaseRepresentation
bin1001011010000000100…
…1000010110001011100
3120110010012212202001100
42112200021002301130
510121424212441124
6202123243513100
714450416500114
oct2264011026134
9513105782040
10161600515164
1162597306970
122739b828790
1312314a2300a
147b70300044
15430c23e1c9
hex25a0242c5c

161600515164 has 144 divisors (see below), whose sum is σ = 461758961664. Its totient is φ = 47209046400.

The previous prime is 161600515117. The next prime is 161600515183. The reversal of 161600515164 is 461515006161.

It is a super-2 number, since 2×1616005151642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203562 + ... + 3253614.

It is an arithmetic number, because the mean of its divisors is an integer number (3206659456).

Almost surely, 2161600515164 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 161600515164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230879480832).

161600515164 is an abundant number, since it is smaller than the sum of its proper divisors (300158446500).

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

161600515164 is a wasteful number, since it uses less digits than its factorization.

161600515164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50368 (or 50363 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 161600515164 in words is "one hundred sixty-one billion, six hundred million, five hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 263 279 341 372 396 526 558 682 789 1023 1052 1116 1364 1578 2046 2367 2893 3069 3156 4092 4734 5786 6138 8153 8679 9468 11572 12276 16306 17358 24459 26037 32612 34716 48918 50053 52074 73377 89683 97836 100106 104148 146754 150159 179366 200212 269049 293508 300318 358732 450477 538098 550583 600636 807147 900954 1076196 1101166 1551643 1614294 1651749 1801908 2202332 3103286 3228588 3303498 4654929 4955247 6206572 6606996 9309858 9910494 13163939 13964787 17068073 18619716 19820988 26327878 27929574 34136146 39491817 51204219 52655756 55859148 68272292 78983634 102408438 118475451 144803329 153612657 157967268 204816876 236950902 289606658 307225314 408082109 434409987 473901804 579213316 614450628 816164218 868819974 1224246327 1303229961 1632328436 1737639948 2448492654 2606459922 3672738981 4488903199 4896985308 5212919844 7345477962 8977806398 13466709597 14690955924 17955612796 26933419194 40400128791 53866838388 80800257582 161600515164