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99718164 = 223271361499
BaseRepresentation
bin1011111000110…
…01010000010100
320221122012121100
411330121100110
5201011440124
613521150100
72320406340
oct574312024
9227565540
1099718164
1151319807
122948b330
1317875440
14d35a620
158b4b1c9
hex5f19414

99718164 has 144 divisors (see below), whose sum is σ = 315952000. Its totient is φ = 25816320.

The previous prime is 99718159. The next prime is 99718187. The reversal of 99718164 is 46181799.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199587 + ... + 200085.

Almost surely, 299718164 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 99718164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157976000).

99718164 is an abundant number, since it is smaller than the sum of its proper divisors (216233836).

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

99718164 is a wasteful number, since it uses less digits than its factorization.

99718164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 99718164 is about 9985.8982570423. The cubic root of 99718164 is about 463.7224174546.

The spelling of 99718164 in words is "ninety-nine million, seven hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 61 63 78 84 91 117 122 126 156 182 183 234 244 252 273 364 366 427 468 499 546 549 732 793 819 854 998 1092 1098 1281 1497 1586 1638 1708 1996 2196 2379 2562 2994 3172 3276 3493 3843 4491 4758 5124 5551 5988 6487 6986 7137 7686 8982 9516 10479 11102 12974 13972 14274 15372 16653 17964 19461 20958 22204 25948 28548 30439 31437 33306 38922 41916 45409 49959 58383 60878 62874 66612 77844 90818 91317 99918 116766 121756 125748 136227 181636 182634 199836 213073 233532 272454 273951 365268 395707 408681 426146 544908 547902 639219 791414 817362 852292 1095804 1187121 1278438 1582828 1634724 1917657 2374242 2556876 2769949 3561363 3835314 4748484 5539898 7122726 7670628 8309847 11079796 14245452 16619694 24929541 33239388 49859082 99718164