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191869056 = 27321511103
BaseRepresentation
bin10110110111110…
…11000010000000
3111101000221212100
423123323002000
5343104302211
631012230400
74516601001
oct1333730200
9441027770
10191869056
119933a075
125430b400
133099b3b2
141b6a71a8
1511ca0156
hexb6fb080

191869056 has 96 divisors (see below), whose sum is σ = 556283520. Its totient is φ = 63475200.

The previous prime is 191869037. The next prime is 191869061. The reversal of 191869056 is 650968191.

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

It is a super-2 number, since 2×1918690562 = 73627469300662272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 173401 + ... + 174503.

It is an arithmetic number, because the mean of its divisors is an integer number (5794620).

Almost surely, 2191869056 is an apocalyptic number.

191869056 is a gapful number since it is divisible by the number (16) 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 191869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278141760).

191869056 is an abundant number, since it is smaller than the sum of its proper divisors (364414464).

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

191869056 is a wasteful number, since it uses less digits than its factorization.

191869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 191869056 is about 13851.6806200547. The cubic root of 191869056 is about 576.7686497363.

The spelling of 191869056 in words is "one hundred ninety-one million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 288 302 384 453 576 604 906 1103 1152 1208 1359 1812 2206 2416 2718 3309 3624 4412 4832 5436 6618 7248 8824 9664 9927 10872 13236 14496 17648 19328 19854 21744 26472 28992 35296 39708 43488 52944 57984 70592 79416 86976 105888 141184 158832 166553 173952 211776 317664 333106 423552 499659 635328 666212 999318 1270656 1332424 1498977 1998636 2664848 2997954 3997272 5329696 5995908 7994544 10659392 11991816 15989088 21318784 23983632 31978176 47967264 63956352 95934528 191869056