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2115591296 = 27713296263
BaseRepresentation
bin111111000011001…
…0101110010000000
312110102212011200012
41332012111302000
513313042410141
6545532244052
7103266141440
oct17606256200
95412764605
102115591296
11996218065
124b0610628
132793b9690
14160d88120
15c5ae6ceb
hex7e195c80

2115591296 has 128 divisors (see below), whose sum is σ = 5366995200. Its totient is φ = 807948288.

The previous prime is 2115591281. The next prime is 2115591329. The reversal of 2115591296 is 6921955112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334661 + ... + 340923.

It is an arithmetic number, because the mean of its divisors is an integer number (41929650).

Almost surely, 22115591296 is an apocalyptic number.

2115591296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683497600).

2115591296 is an abundant number, since it is smaller than the sum of its proper divisors (3251403904).

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

2115591296 is a wasteful number, since it uses less digits than its factorization.

2115591296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6314 counting only the distinct ones).

The product of its digits is 48600, while the sum is 41.

The square root of 2115591296 is about 45995.5573506833. The cubic root of 2115591296 is about 1283.7405427427.

The spelling of 2115591296 in words is "two billion, one hundred fifteen million, five hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 128 182 203 208 224 232 364 377 406 416 448 464 728 754 812 832 896 928 1456 1508 1624 1664 1856 2639 2912 3016 3248 3712 5278 5824 6032 6263 6496 10556 11648 12064 12526 12992 21112 24128 25052 25984 42224 43841 48256 50104 81419 84448 87682 100208 162838 168896 175364 181627 200416 325676 337792 350728 363254 400832 569933 651352 701456 726508 801664 1139866 1271389 1302704 1402912 1453016 2279732 2361151 2542778 2605408 2805824 2906032 4559464 4722302 5085556 5210816 5611648 5812064 9118928 9444604 10171112 10421632 11624128 16528057 18237856 18889208 20342224 23248256 33056114 36475712 37778416 40684448 66112228 72951424 75556832 81368896 132224456 151113664 162737792 264448912 302227328 528897824 1057795648 2115591296