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99540707761 = 11197913146021
BaseRepresentation
bin101110010110100010…
…1101010100110110001
3100111221011101212202001
41130231011222212301
53112324410122021
6113421154454001
710122466025035
oct1345505524661
9314834355661
1099540707761
1139240153040
121735bb94301
13950460b3a1
144b640641c5
1528c8c63091
hex172d16a9b1

99540707761 has 32 divisors (see below), whose sum is σ = 116638156800. Its totient is φ = 83995704000.

The previous prime is 99540707621. The next prime is 99540707789. The reversal of 99540707761 is 16770704599.

It is a 3-Lehmer number, since φ(99540707761) divides (99540707761-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 99540707761 - 229 = 99003836849 is a prime.

It is a deceptive number, since it divides R99540707760.

It is not an unprimeable number, because it can be changed into a prime (99540707261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2139931 + ... + 2185951.

It is an arithmetic number, because the mean of its divisors is an integer number (3644942400).

It is a Poulet number, since it divides 299540707760-1.

Almost surely, 299540707761 is an apocalyptic number.

It is an amenable number.

99540707761 is a deficient number, since it is larger than the sum of its proper divisors (17097449039).

99540707761 is a wasteful number, since it uses less digits than its factorization.

99540707761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46261.

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 99540707761 in words is "ninety-nine billion, five hundred forty million, seven hundred seven thousand, seven hundred sixty-one".

Divisors: 1 11 19 79 131 209 869 1441 1501 2489 10349 16511 27379 46021 113839 196631 506231 874399 2162941 3635659 6028751 9618389 39992249 66316261 69077521 114546269 476271329 759852731 1260008959 5238984619 9049155251 99540707761