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99199952082 = 232721137276343
BaseRepresentation
bin101110001100011000…
…1110010010011010010
3100111001102012200211100
41130120301302103102
53111130141431312
6113323303125230
710111160452200
oct1343061622322
9314042180740
1099199952082
1139085872280
1217285a43816
13947bb40aca
144b30ac2070
1528a8da35dc
hex1718c724d2

99199952082 has 144 divisors (see below), whose sum is σ = 280126596672. Its totient is φ = 25069746240.

The previous prime is 99199952081. The next prime is 99199952129. The reversal of 99199952082 is 28025999199.

99199952082 is a `hidden beast` number, since 9 + 9 + 19 + 99 + 520 + 8 + 2 = 666.

It is a super-2 number, since 2×991999520822 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (99199952081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220803 + ... + 497145.

It is an arithmetic number, because the mean of its divisors is an integer number (1945323588).

Almost surely, 299199952082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99199952082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140063298336).

99199952082 is an abundant number, since it is smaller than the sum of its proper divisors (180926644590).

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

99199952082 is a wasteful number, since it uses less digits than its factorization.

99199952082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276413 (or 276403 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 99199952082 in words is "ninety-nine billion, one hundred ninety-nine million, nine hundred fifty-two thousand, eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 49 63 66 74 77 98 99 111 126 147 154 198 222 231 259 294 333 407 441 462 518 539 666 693 777 814 882 1078 1221 1386 1554 1617 1813 2331 2442 2849 3234 3626 3663 4662 4851 5439 5698 7326 8547 9702 10878 16317 17094 19943 25641 32634 39886 51282 59829 119658 179487 276343 358974 552686 829029 1658058 1934401 2487087 3039773 3868802 4974174 5803203 6079546 9119319 10224691 11606406 13540807 17409609 18238638 20449382 21278411 27081614 27357957 30674073 34819218 40622421 42556822 54715914 61348146 63835233 71572837 81244842 92022219 112471601 121867263 127670466 143145674 148948877 184044438 191505699 214718511 224943202 243734526 297897754 337414803 383011398 429437022 446846631 501009859 644155533 674829606 787301207 893693262 1002019718 1012244409 1288311066 1340539893 1503029577 1574602414 2024488818 2361903621 2681079786 3006059154 4509088731 4723807242 5511108449 7085710863 9018177462 11022216898 14171421726 16533325347 33066650694 49599976041 99199952082