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191541056 = 2672329641
BaseRepresentation
bin10110110101010…
…10111101000000
3111100102021221012
423122222331000
5343013303211
631001220052
74514033510
oct1332527500
9440367835
10191541056
11991356a3
1254191628
13308b5005
141b61d840
1511c37d8b
hexb6aaf40

191541056 has 112 divisors (see below), whose sum is σ = 469635840. Its totient is φ = 75694080.

The previous prime is 191541047. The next prime is 191541067. The reversal of 191541056 is 650145191.

191541056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1915410562 = 73375952267190272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 298496 + ... + 299136.

Almost surely, 2191541056 is an apocalyptic number.

191541056 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 191541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234817920).

191541056 is an abundant number, since it is smaller than the sum of its proper divisors (278094784).

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

191541056 is a wasteful number, since it uses less digits than its factorization.

191541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 191541056 is about 13839.8358371767. The cubic root of 191541056 is about 576.4398004251.

The spelling of 191541056 in words is "one hundred ninety-one million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 161 184 203 224 232 322 368 406 448 464 641 644 667 736 812 928 1282 1288 1334 1472 1624 1856 2564 2576 2668 3248 4487 4669 5128 5152 5336 6496 8974 9338 10256 10304 10672 12992 14743 17948 18589 18676 20512 21344 29486 35896 37178 37352 41024 42688 58972 71792 74356 74704 103201 117944 130123 143584 148712 149408 206402 235888 260246 287168 297424 298816 412804 427547 471776 520492 594848 825608 855094 943552 1040984 1189696 1651216 1710188 2081968 2992829 3302432 3420376 4163936 5985658 6604864 6840752 8327872 11971316 13681504 23942632 27363008 47885264 95770528 191541056