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99182114816 = 2111716317477
BaseRepresentation
bin101110001011110110…
…1101111100000000000
3100111000011122110200212
41130113231233200000
53111111110133231
6113321424533252
710110553031411
oct1342755574000
9314004573625
1099182114816
1139076799934
121727ba81228
139478236c05
144b2c59b808
1528a752d42b
hex1717b6f800

99182114816 has 96 divisors (see below), whose sum is σ = 211281754320. Its totient is φ = 46384939008.

The previous prime is 99182114807. The next prime is 99182114819. The reversal of 99182114816 is 61841128199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99182114819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5666270 + ... + 5683746.

Almost surely, 299182114816 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 99182114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105640877160).

99182114816 is an abundant number, since it is smaller than the sum of its proper divisors (112099639504).

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

99182114816 is a wasteful number, since it uses less digits than its factorization.

99182114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17679 (or 17659 counting only the distinct ones).

The product of its digits is 248832, while the sum is 50.

The spelling of 99182114816 in words is "ninety-nine billion, one hundred eighty-two million, one hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 256 272 326 512 544 652 1024 1088 1304 2048 2176 2608 2771 4352 5216 5542 8704 10432 11084 17408 17477 20864 22168 34816 34954 41728 44336 69908 83456 88672 139816 166912 177344 279632 297109 333824 354688 559264 594218 709376 1118528 1188436 1418752 2237056 2376872 2837504 2848751 4474112 4753744 5675008 5697502 8948224 9507488 11395004 17896448 19014976 22790008 35792896 38029952 45580016 48428767 76059904 91160032 96857534 152119808 182320064 193715068 304239616 364640128 387430136 608479232 729280256 774860272 1458560512 1549720544 2917121024 3099441088 5834242048 6198882176 12397764352 24795528704 49591057408 99182114816