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161591136256 = 2121125712
BaseRepresentation
bin1001011001111110010…
…1010001000000000000
3120110002120020020121101
42112133211101000000
510121414312330011
6202122310504144
714450243665264
oct2263745210000
9513076206541
10161591136256
1162591a90400
1227398665054
1312312abb074
147b6cd7c0a4
15430b4da2c1
hex259f951000

161591136256 has 117 divisors (see below), whose sum is σ = 355813182039. Its totient is φ = 73321881600.

The previous prime is 161591136229. The next prime is 161591136313. The reversal of 161591136256 is 652631195161.

The square root of 161591136256 is 401984.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1615911362562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 282996451 + ... + 282997021.

Almost surely, 2161591136256 is an apocalyptic number.

161591136256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161591136256 is the 401984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161591136256

161591136256 is an abundant number, since it is smaller than the sum of its proper divisors (194222045783).

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

161591136256 is an frugal number, since it uses more digits than its factorization.

161591136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 584 counting only the distinct ones).

The product of its digits is 291600, while the sum is 46.

The spelling of 161591136256 in words is "one hundred sixty-one billion, five hundred ninety-one million, one hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 571 704 968 1024 1142 1408 1936 2048 2284 2816 3872 4096 4568 5632 6281 7744 9136 11264 12562 15488 18272 22528 25124 30976 36544 45056 50248 61952 69091 73088 100496 123904 138182 146176 200992 247808 276364 292352 326041 401984 495616 552728 584704 652082 803968 1105456 1169408 1304164 1607936 2210912 2338816 2608328 3215872 3586451 4421824 5216656 6431744 7172902 8843648 10433312 12863488 14345804 17687296 20866624 25726976 28691608 35374592 39450961 41733248 57383216 70749184 78901922 83466496 114766432 141498368 157803844 166932992 229532864 282996736 315607688 333865984 459065728 631215376 667731968 918131456 1262430752 1335463936 1836262912 2524861504 3672525824 5049723008 7345051648 10099446016 14690103296 20198892032 40397784064 80795568128 161591136256