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99323117652 = 2231121910733647
BaseRepresentation
bin101110010000000011…
…1101000000001010100
3100111100222222011020010
41130200013220001110
53111403204231102
6113343423040220
710114214366403
oct1344007500124
9314328864203
1099323117652
1139139346400
12172bb140070
13949b505845
144b431c363a
1528b4ad1d6c
hex17201e8054

99323117652 has 144 divisors (see below), whose sum is σ = 270659128320. Its totient is φ = 28246489920.

The previous prime is 99323117629. The next prime is 99323117653. The reversal of 99323117652 is 25671132399.

It is a super-2 number, since 2×993231176522 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99323117653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2935093 + ... + 2968739.

It is an arithmetic number, because the mean of its divisors is an integer number (1879577280).

Almost surely, 299323117652 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 99323117652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135329564160).

99323117652 is an abundant number, since it is smaller than the sum of its proper divisors (171336010668).

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

99323117652 is a wasteful number, since it uses less digits than its factorization.

99323117652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33802 (or 33789 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The spelling of 99323117652 in words is "ninety-nine billion, three hundred twenty-three million, one hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 107 114 121 132 209 214 228 242 321 363 418 428 484 627 642 726 836 1177 1254 1284 1452 2033 2299 2354 2508 3531 4066 4598 4708 6099 6897 7062 8132 9196 12198 12947 13794 14124 22363 24396 25894 27588 33647 38841 44726 51788 67089 67294 77682 89452 100941 134178 134588 155364 201882 245993 268356 370117 403764 491986 639293 737979 740234 983972 1110351 1278586 1475958 1480468 1917879 2220702 2557172 2951916 3600229 3835758 4071287 4441404 7032223 7200458 7671516 8142574 10800687 12213861 14064446 14400916 16285148 21096669 21601374 24427722 28128892 39602519 42193338 43202748 48855444 68404351 77354453 79205038 84386676 118807557 136808702 154708906 158410076 205213053 232063359 237615114 273617404 309417812 410426106 435627709 464126718 475230228 752447861 820852212 871255418 928253436 1306883127 1504895722 1742510836 2257343583 2613766254 3009791444 4514687166 5227532508 8276926471 9029374332 16553852942 24830779413 33107705884 49661558826 99323117652