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126399876102 = 232194710197717
BaseRepresentation
bin111010110111000000…
…1010000110000000110
3110002021000200000001200
41311232001100300012
54032331332013402
6134022312003330
712063210135213
oct1655601206006
9402230600050
10126399876102
1149673486825
12205b7090546
13bbc50801c6
1461912c6b0a
15344bc7a21c
hex1d6e050c06

126399876102 has 96 divisors (see below), whose sum is σ = 294741158400. Its totient is φ = 39023083584.

The previous prime is 126399876077. The next prime is 126399876107. The reversal of 126399876102 is 201678993621.

126399876102 is a `hidden beast` number, since 12 + 6 + 3 + 9 + 9 + 8 + 7 + 610 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126399876107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16375548 + ... + 16383264.

It is an arithmetic number, because the mean of its divisors is an integer number (3070220400).

Almost surely, 2126399876102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126399876102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147370579200).

126399876102 is an abundant number, since it is smaller than the sum of its proper divisors (168341282298).

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

126399876102 is a wasteful number, since it uses less digits than its factorization.

126399876102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 126399876102 in words is "one hundred twenty-six billion, three hundred ninety-nine million, eight hundred seventy-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1019 1786 2038 2679 3057 5358 6114 7717 8037 9171 15434 16074 18342 19361 23151 38722 46302 47893 58083 69453 95786 116166 138906 143679 146623 174249 287358 293246 348498 362699 431037 439869 725398 862074 879738 909967 1088097 1319607 1819934 2176194 2639214 2729901 3264291 5459802 6528582 6891281 7863623 8189703 13782562 15727246 16379406 20673843 23590869 41347686 47181738 62021529 70772607 124043058 141545214 149408837 298817674 369590281 448226511 739180562 896453022 1108770843 1344679533 2217541686 2689359066 3326312529 6652625058 7022215339 14044430678 21066646017 42133292034 63199938051 126399876102