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2191049856 = 27328232311
BaseRepresentation
bin1000001010011000…
…1100010010000000
312122200211212100200
42002212030102000
513441402043411
61001225445200
7105203421312
oct20246142200
95580755320
102191049856
11a24877206
12511940800
1328bc19908
1416adcb7b2
15cc54ee56
hex8298c480

2191049856 has 96 divisors (see below), whose sum is σ = 6315366720. Its totient is φ = 729146880.

The previous prime is 2191049843. The next prime is 2191049867. The reversal of 2191049856 is 6589401912.

2191049856 is a `hidden beast` number, since 21 + 91 + 0 + 498 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946941 + ... + 949251.

It is an arithmetic number, because the mean of its divisors is an integer number (65785070).

Almost surely, 22191049856 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 2191049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157683360).

2191049856 is an abundant number, since it is smaller than the sum of its proper divisors (4124316864).

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

2191049856 is a wasteful number, since it uses less digits than its factorization.

2191049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2191049856 is about 46808.6515080279. The cubic root of 2191049856 is about 1298.8253404938.

The spelling of 2191049856 in words is "two billion, one hundred ninety-one million, forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 823 1152 1646 2311 2469 3292 4622 4938 6584 6933 7407 9244 9876 13168 13866 14814 18488 19752 20799 26336 27732 29628 36976 39504 41598 52672 55464 59256 73952 79008 83196 105344 110928 118512 147904 158016 166392 221856 237024 295808 316032 332784 443712 474048 665568 887424 948096 1331136 1901953 2662272 3803906 5705859 7607812 11411718 15215624 17117577 22823436 30431248 34235154 45646872 60862496 68470308 91293744 121724992 136940616 182587488 243449984 273881232 365174976 547762464 730349952 1095524928 2191049856