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100667410044 = 223374112743543
BaseRepresentation
bin101110111000000111…
…1101100011001111100
3100121211200111021201020
41131300033230121330
53122131324110134
6114125043544140
710162426603245
oct1356017543174
9317750437636
10100667410044
1139769146153
121761538b050
139653b7b026
144c2d953ccc
152942b20b49
hex17703ec67c

100667410044 has 96 divisors (see below), whose sum is σ = 249074466816. Its totient is φ = 31601041920.

The previous prime is 100667409961. The next prime is 100667410057. The reversal of 100667410044 is 440014766001.

It is a junction number, because it is equal to n+sod(n) for n = 100667409987 and 100667410014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2290137 + ... + 2333679.

It is an arithmetic number, because the mean of its divisors is an integer number (2594525696).

Almost surely, 2100667410044 is an apocalyptic number.

It is an amenable number.

100667410044 is an abundant number, since it is smaller than the sum of its proper divisors (148407056772).

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

100667410044 is a wasteful number, since it uses less digits than its factorization.

100667410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43755 (or 43753 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 100667410044 in words is "one hundred billion, six hundred sixty-seven million, four hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 127 148 164 222 246 254 381 444 492 508 762 1517 1524 3034 4551 4699 5207 6068 9102 9398 10414 14097 15621 18204 18796 20828 28194 31242 43543 56388 62484 87086 130629 174172 192659 261258 385318 522516 577977 770636 1155954 1611091 1785263 2311908 3222182 3570526 4833273 5355789 5529961 6444364 7141052 9666546 10711578 11059922 16589883 19333092 21423156 22119844 33179766 66054731 66359532 132109462 198164193 204608557 226728401 264218924 396328386 409217114 453456802 613825671 680185203 792656772 818434228 906913604 1227651342 1360370406 2455302684 2720740812 8388950837 16777901674 25166852511 33555803348 50333705022 100667410044