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191481696 = 25327194999
BaseRepresentation
bin10110110100111…
…00011101100000
3111100022021111200
423122130131200
5343004403241
631000041200
74513365450
oct1332343540
9440267450
10191481696
11990a503a
1254163200
1330893ca3
141b605d60
1511c254b6
hexb69c760

191481696 has 144 divisors (see below), whose sum is σ = 655200000. Its totient is φ = 51819264.

The previous prime is 191481683. The next prime is 191481707. The reversal of 191481696 is 696184191.

191481696 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 (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35805 + ... + 40803.

It is an arithmetic number, because the mean of its divisors is an integer number (4550000).

Almost surely, 2191481696 is an apocalyptic number.

191481696 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 191481696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600000).

191481696 is an abundant number, since it is smaller than the sum of its proper divisors (463718304).

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

191481696 is a wasteful number, since it uses less digits than its factorization.

191481696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5030 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 191481696 is about 13837.6911368913. The cubic root of 191481696 is about 576.3802466100.

The spelling of 191481696 in words is "one hundred ninety-one million, four hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 4999 5472 6384 9576 9998 12768 14997 19152 19996 29994 34993 38304 39992 44991 59988 69986 79984 89982 94981 104979 119976 139972 159968 179964 189962 209958 239952 279944 284943 314937 359928 379924 419916 479904 559888 569886 629874 664867 719856 759848 839832 854829 1119776 1139772 1259748 1329734 1439712 1519696 1679664 1709658 1994601 2279544 2519496 2659468 3039392 3359328 3419316 3989202 4559088 5038992 5318936 5983803 6838632 7978404 9118176 10077984 10637872 11967606 13677264 15956808 21275744 23935212 27354528 31913616 47870424 63827232 95740848 191481696