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2191064256 = 26341632593
BaseRepresentation
bin1000001010011000…
…1111110011000000
312122200212121010000
42002212033303000
513441403024011
61001230040000
7105203511303
oct20246176300
95580777100
102191064256
11a24887007
12511949000
1328bc23334
1416add2b3a
15cc554356
hex8298fcc0

2191064256 has 140 divisors (see below), whose sum is σ = 6537367672. Its totient is φ = 725594112.

The previous prime is 2191064243. The next prime is 2191064257. The reversal of 2191064256 is 6524601912.

2191064256 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 0 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2191064256.

It is not an unprimeable number, because it can be changed into a prime (2191064257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 843696 + ... + 846288.

Almost surely, 22191064256 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 2191064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268683836).

2191064256 is an abundant number, since it is smaller than the sum of its proper divisors (4346303416).

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

2191064256 is a wasteful number, since it uses less digits than its factorization.

2191064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2191064256 is about 46808.8053254940. The cubic root of 2191064256 is about 1298.8281858640.

The spelling of 2191064256 in words is "two billion, one hundred ninety-one million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 163 192 216 288 324 326 432 489 576 648 652 864 978 1296 1304 1467 1728 1956 2592 2593 2608 2934 3912 4401 5184 5186 5216 5868 7779 7824 8802 10372 10432 11736 13203 15558 15648 17604 20744 23337 23472 26406 31116 31296 35208 41488 46674 46944 52812 62232 70011 70416 82976 93348 93888 105624 124464 140022 140832 165952 186696 210033 211248 248928 280044 281664 373392 420066 422496 422659 497856 560088 746784 840132 844992 845318 1120176 1267977 1493568 1680264 1690636 2240352 2535954 3360528 3381272 3803931 4480704 5071908 6721056 6762544 7607862 10143816 11411793 13442112 13525088 15215724 20287632 22823586 27050176 30431448 34235379 40575264 45647172 60862896 68470758 81150528 91294344 121725792 136941516 182588688 243451584 273883032 365177376 547766064 730354752 1095532128 2191064256