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99479186128 = 2472532639103
BaseRepresentation
bin101110010100101101…
…0111110101011010000
3100111202212122020221001
41130221122332223100
53112213132424003
6113411120111344
710121121062500
oct1345132765320
9314685566831
1099479186128
1139209452a13
1217343465554
1394c494a95a
144b59c0ba00
1528c365e61d
hex17296bead0

99479186128 has 120 divisors (see below), whose sum is σ = 229332964608. Its totient is φ = 41665897728.

The previous prime is 99479186111. The next prime is 99479186129. The reversal of 99479186128 is 82168197499.

It is a happy number.

99479186128 is a nontrivial binomial coefficient, being equal to C(446048, 2).

It is a super-2 number, since 2×994791861282 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99479186128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99479186129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10923625 + ... + 10932727.

Almost surely, 299479186128 is an apocalyptic number.

99479186128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

99479186128 is the 446047-th triangular number and also the 223024-th hexagonal number.

99479186128 is the 148683-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99479186128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114666482304).

99479186128 is an abundant number, since it is smaller than the sum of its proper divisors (129853778480).

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

99479186128 is a wasteful number, since it uses less digits than its factorization.

99479186128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9428 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 64.

The spelling of 99479186128 in words is "ninety-nine billion, four hundred seventy-nine million, one hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 263 371 392 424 526 742 784 848 1052 1484 1841 2104 2597 2968 3682 4208 5194 5936 7364 9103 10388 12887 13939 14728 18206 20776 25774 27878 29456 36412 41552 51548 55756 63721 72824 97573 103096 111512 127442 145648 195146 206192 223024 254884 390292 446047 482459 509768 683011 780584 892094 964918 1019536 1366022 1561168 1784188 1929836 2394089 2732044 3377213 3568376 3859672 4788178 5464088 6754426 7136752 7719344 9576356 10928176 13508852 16758623 19152712 23640491 27017704 33517246 38305424 47280982 54035408 67034492 94561964 117310361 126886717 134068984 189123928 234620722 253773434 268137968 378247856 469241444 507546868 888207019 938482888 1015093736 1776414038 1876965776 2030187472 3552828076 6217449133 7105656152 12434898266 14211312304 24869796532 49739593064 99479186128