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2081156688 = 24321310191091
BaseRepresentation
bin111110000001011…
…1110111001010000
312101001001201021100
41330002332321100
513230234003223
6542302224400
7102400353132
oct17402767120
95331051240
102081156688
11978838906
124a0b85100
13272221080
1415a583052
15c2a94043
hex7c0bee50

2081156688 has 120 divisors (see below), whose sum is σ = 6284285280. Its totient is φ = 639141120.

The previous prime is 2081156683. The next prime is 2081156767. The reversal of 2081156688 is 8866511802.

2081156688 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 1 + 566 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081156681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1907023 + ... + 1908113.

It is an arithmetic number, because the mean of its divisors is an integer number (52369044).

Almost surely, 22081156688 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 2081156688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142142640).

2081156688 is an abundant number, since it is smaller than the sum of its proper divisors (4203128592).

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

2081156688 is a wasteful number, since it uses less digits than its factorization.

2081156688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2081156688 is about 45619.6962725532. The cubic root of 2081156688 is about 1276.7374366333.

The spelling of 2081156688 in words is "two billion, eighty-one million, one hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1019 1091 1872 2038 2182 3057 3273 4076 4364 6114 6546 8152 8728 9171 9819 12228 13092 13247 14183 16304 17456 18342 19638 24456 26184 26494 28366 36684 39276 39741 42549 48912 52368 52988 56732 73368 78552 79482 85098 105976 113464 119223 127647 146736 157104 158964 170196 211952 226928 238446 255294 317928 340392 476892 510588 635856 680784 953784 1021176 1111729 1907568 2042352 2223458 3335187 4446916 6670374 8893832 10005561 13340748 14452477 17787664 20011122 26681496 28904954 40022244 43357431 53362992 57809908 80044488 86714862 115619816 130072293 160088976 173429724 231239632 260144586 346859448 520289172 693718896 1040578344 2081156688