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96005005965 = 32511881220147
BaseRepresentation
bin101100101101001011…
…0000010001010001101
3100011210202100121200200
41121122112002022031
53033104240142330
6112034252244113
76636044041401
oct1313226021215
9304722317620
1096005005965
1137796360a40
1216733a70639
13908cc5174b
14490a651101
15276d652a60
hex165a58228d

96005005965 has 48 divisors (see below), whose sum is σ = 181743621696. Its totient is φ = 46494835200.

The previous prime is 96005005961. The next prime is 96005006017. The reversal of 96005005965 is 56950050069.

96005005965 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 50 + 0 + 596 + 5 = 666.

It is not a de Polignac number, because 96005005965 - 22 = 96005005961 is a prime.

It is a super-2 number, since 2×960050059652 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 96005005965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96005005961) 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, 326022 + ... + 546168.

It is an arithmetic number, because the mean of its divisors is an integer number (3786325452).

Almost surely, 296005005965 is an apocalyptic number.

It is an amenable number.

96005005965 is a deficient number, since it is larger than the sum of its proper divisors (85738615731).

96005005965 is a wasteful number, since it uses less digits than its factorization.

96005005965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221050 (or 221047 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 96005005965 in words is "ninety-six billion, five million, five thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 881 2643 4405 7929 9691 13215 29073 39645 48455 87219 145365 220147 436095 660441 1100735 1981323 2421617 3302205 7264851 9906615 12108085 21794553 36324255 108972765 193949507 581848521 969747535 1745545563 2133444577 2909242605 6400333731 8727727815 10667222885 19201001193 32001668655 96005005965