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99100639876 = 22729677324953
BaseRepresentation
bin101110001001011011…
…0111100001010000100
3100110210111100010002111
41130102312330022010
53110424230434001
6113305354350404
710105543353220
oct1342266741204
9313714303074
1099100639876
1139034800577
121725872b404
1394643ab3a4
144b2182d780
1528a02d7851
hex1712dbc284

99100639876 has 96 divisors (see below), whose sum is σ = 210955127040. Its totient is φ = 39840159744.

The previous prime is 99100639871. The next prime is 99100639889. The reversal of 99100639876 is 67893600199.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 99100639876.

It is not an unprimeable number, because it can be changed into a prime (99100639871) 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 31 ways as a sum of consecutive naturals, for example, 3959016 + ... + 3983968.

It is an arithmetic number, because the mean of its divisors is an integer number (2197449240).

Almost surely, 299100639876 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 99100639876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105477563520).

99100639876 is an abundant number, since it is smaller than the sum of its proper divisors (111854487164).

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

99100639876 is a wasteful number, since it uses less digits than its factorization.

99100639876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25133 (or 25131 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 99100639876 in words is "ninety-nine billion, one hundred million, six hundred thirty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 58 67 73 116 134 146 203 268 292 406 469 511 812 938 1022 1876 1943 2044 2117 3886 4234 4891 7772 8468 9782 13601 14819 19564 24953 27202 29638 34237 49906 54404 59276 68474 99812 136948 141839 174671 283678 349342 567356 698684 723637 992873 1447274 1671851 1821569 1985746 2894548 3343702 3643138 3971492 5065459 6687404 7286276 10130918 11702957 12750983 20261836 23405914 25501966 46811828 48483679 51003932 52825501 96967358 105651002 122045123 193934716 211302004 244090246 339385753 369778507 488180492 678771506 739557014 854315861 1357543012 1479114028 1708631722 3417263444 3539308567 7078617134 14157234268 24775159969 49550319938 99100639876