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189167664 = 24374313093
BaseRepresentation
bin10110100011001…
…11100000110000
3111011221201020210
423101213200300
5341411331124
630434304120
74454620140
oct1321474060
9434851223
10189167664
1197864514
1253428040
133026393a
141b1a2920
1511919a29
hexb467830

189167664 has 80 divisors (see below), whose sum is σ = 571526912. Its totient is φ = 52786944.

The previous prime is 189167659. The next prime is 189167669. The reversal of 189167664 is 466761981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189167659) and next prime (189167669).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (189167669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7902 + ... + 20994.

Almost surely, 2189167664 is an apocalyptic number.

189167664 is a gapful number since it is divisible by the number (14) 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 189167664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285763456).

189167664 is an abundant number, since it is smaller than the sum of its proper divisors (382359248).

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

189167664 is a wasteful number, since it uses less digits than its factorization.

189167664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 13148 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 189167664 is about 13753.8236138174. The cubic root of 189167664 is about 574.0490029267.

The spelling of 189167664 in words is "one hundred eighty-nine million, one hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 13093 14448 26186 39279 52372 78558 91651 104744 157116 183302 209488 274953 314232 366604 549906 562999 628464 733208 1099812 1125998 1466416 1688997 2199624 2251996 3377994 3940993 4399248 4503992 6755988 7881986 9007984 11822979 13511976 15763972 23645958 27023952 31527944 47291916 63055888 94583832 189167664