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191171968 = 2713131877
BaseRepresentation
bin10110110010100…
…00110110000000
3111022201112122021
423121100312000
5342420000333
630545251224
74510635451
oct1331206600
9438645567
10191171968
1198a03369
1254033b14
13307b6010
141b565128
1511bb382d
hexb650d80

191171968 has 64 divisors (see below), whose sum is σ = 413748720. Its totient is φ = 87459840.

The previous prime is 191171963. The next prime is 191171993. The reversal of 191171968 is 869171191.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191171963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217546 + ... + 218422.

Almost surely, 2191171968 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 191171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206874360).

191171968 is an abundant number, since it is smaller than the sum of its proper divisors (222576752).

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

191171968 is a wasteful number, since it uses less digits than its factorization.

191171968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).

The product of its digits is 27216, while the sum is 43.

The square root of 191171968 is about 13826.4951451914. The cubic root of 191171968 is about 576.0693075038.

The spelling of 191171968 in words is "one hundred ninety-one million, one hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 208 262 416 524 832 877 1048 1664 1703 1754 2096 3406 3508 4192 6812 7016 8384 11401 13624 14032 16768 22802 27248 28064 45604 54496 56128 91208 108992 112256 114887 182416 217984 229774 364832 459548 729664 919096 1459328 1493531 1838192 2987062 3676384 5974124 7352768 11948248 14705536 23896496 47792992 95585984 191171968