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10001291107944 = 2332772617574859
BaseRepresentation
bin1001000110001001101101…
…1001110101111001101000
31022102010002011200022222010
42101202123121311321220
52302330121010423234
633134310225555520
72051366213521353
oct221423331657150
938363064608863
1010001291107944
113206584108584
1211563981a5ba0
1357716b79c016
142680ca7b729a
151252534786e9
hex9189b675e68

10001291107944 has 64 divisors (see below), whose sum is σ = 25103124446400. Its totient is φ = 3320453389824.

The previous prime is 10001291107903. The next prime is 10001291107961. The reversal of 10001291107944 is 44970119210001.

10001291107944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17110387 + ... + 17685245.

It is an arithmetic number, because the mean of its divisors is an integer number (392236319475).

Almost surely, 210001291107944 is an apocalyptic number.

It is an amenable number.

10001291107944 is an abundant number, since it is smaller than the sum of its proper divisors (15101833338456).

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

10001291107944 is a wasteful number, since it uses less digits than its factorization.

10001291107944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577762 (or 577758 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 10001291107944 in words is "ten trillion, one billion, two hundred ninety-one million, one hundred seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 277 554 831 1108 1662 2216 2617 3324 5234 6648 7851 10468 15702 20936 31404 62808 574859 724909 1149718 1449818 1724577 2174727 2299436 2899636 3449154 4349454 4598872 5799272 6898308 8698908 13796616 17397816 159235943 318471886 477707829 636943772 955415658 1273887544 1504406003 1910831316 3008812006 3821662632 4513218009 6017624012 9026436018 12035248024 18052872036 36105744072 416720462831 833440925662 1250161388493 1666881851324 2500322776986 3333763702648 5000645553972 10001291107944