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99991164 = 2237213103127
BaseRepresentation
bin1011111010110…
…11111001111100
320222011002002110
411331123321330
5201044204124
613531054020
72322624300
oct575337174
9228132073
1099991164
1151495929
12295a1310
131793c790
14d3cbd00
158ba2029
hex5f5be7c

99991164 has 144 divisors (see below), whose sum is σ = 297443328. Its totient is φ = 25909632.

The previous prime is 99991109. The next prime is 99991207. The reversal of 99991164 is 46119999.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787269 + ... + 787395.

Almost surely, 299991164 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 99991164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721664).

99991164 is an abundant number, since it is smaller than the sum of its proper divisors (197452164).

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

99991164 is a wasteful number, since it uses less digits than its factorization.

99991164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its digits is 157464, while the sum is 48.

The square root of 99991164 is about 9999.5581902402. The cubic root of 99991164 is about 464.1452119323.

The spelling of 99991164 in words is "ninety-nine million, nine hundred ninety-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 103 127 147 156 182 196 206 254 273 294 309 364 381 412 508 546 588 618 637 721 762 889 1092 1236 1274 1339 1442 1524 1651 1778 1911 2163 2548 2667 2678 2884 3302 3556 3822 4017 4326 4953 5047 5334 5356 6223 6604 7644 8034 8652 9373 9906 10094 10668 11557 12446 13081 15141 16068 18669 18746 19812 20188 23114 24892 26162 28119 30282 34671 37338 37492 39243 46228 52324 56238 60564 65611 69342 74676 78486 80899 91567 112476 131222 138684 156972 161798 170053 183134 196833 242697 262444 274701 323596 340106 366268 393666 485394 510159 549402 640969 680212 787332 970788 1020318 1098804 1190371 1281938 1922907 2040636 2380742 2563876 3571113 3845814 4761484 7142226 7691628 8332597 14284452 16665194 24997791 33330388 49995582 99991164