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164596068 = 2232713471069
BaseRepresentation
bin10011100111110…
…00100101100100
3102110201100100200
421303320211210
5314114033233
624155510500
74036020630
oct1163704544
9373640320
10164596068
1184a0150a
1247158430
132813c730
1417c07dc0
15e6b4313
hex9cf8964

164596068 has 144 divisors (see below), whose sum is σ = 523461120. Its totient is φ = 42446592.

The previous prime is 164596063. The next prime is 164596079. The reversal of 164596068 is 860695461.

164596068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164596063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153438 + ... + 154506.

Almost surely, 2164596068 is an apocalyptic number.

164596068 is a gapful number since it is divisible by the number (18) 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 164596068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261730560).

164596068 is an abundant number, since it is smaller than the sum of its proper divisors (358865052).

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

164596068 is a wasteful number, since it uses less digits than its factorization.

164596068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 164596068 is about 12829.4999123115. The cubic root of 164596068 is about 548.0327160037.

The spelling of 164596068 in words is "one hundred sixty-four million, five hundred ninety-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 47 52 63 78 84 91 94 117 126 141 156 182 188 234 252 273 282 329 364 423 468 546 564 611 658 819 846 987 1069 1092 1222 1316 1638 1692 1833 1974 2138 2444 2961 3207 3276 3666 3948 4276 4277 5499 5922 6414 7332 7483 8554 9621 10998 11844 12828 12831 13897 14966 17108 19242 21996 22449 25662 27794 29932 38484 38493 41691 44898 50243 51324 55588 67347 76986 83382 89796 97279 100486 125073 134694 150729 153972 166764 194558 200972 250146 269388 291837 301458 351701 389116 452187 500292 583674 602916 653159 703402 875511 904374 1055103 1167348 1306318 1406804 1751022 1808748 1959477 2110206 2612636 3165309 3502044 3918954 4220412 4572113 5878431 6330618 7837908 9144226 11756862 12661236 13716339 18288452 23513724 27432678 41149017 54865356 82298034 164596068