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36642665040 = 24351481103091
BaseRepresentation
bin100010001000000100…
…101011001001010000
310111120200122020202020
4202020010223021100
51100021010240130
624500003251440
72435016341142
oct421004531120
9114520566666
1036642665040
11145a3913653
127127679b80
1335bc647327
141ab8748c92
15e46daae10
hex88812b250

36642665040 has 80 divisors (see below), whose sum is σ = 113670063936. Its totient is φ = 9764684800.

The previous prime is 36642665039. The next prime is 36642665053. The reversal of 36642665040 is 4056624663.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 36642664983 and 36642665001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303895 + ... + 406985.

Almost surely, 236642665040 is an apocalyptic number.

36642665040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36642665040 is an abundant number, since it is smaller than the sum of its proper divisors (77027398896).

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

36642665040 is a wasteful number, since it uses less digits than its factorization.

36642665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104588 (or 104582 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 36642665040 in words is "thirty-six billion, six hundred forty-two million, six hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1481 2962 4443 5924 7405 8886 11848 14810 17772 22215 23696 29620 35544 44430 59240 71088 88860 103091 118480 177720 206182 309273 355440 412364 515455 618546 824728 1030910 1237092 1546365 1649456 2061820 2474184 3092730 4123640 4948368 6185460 8247280 12370920 24741840 152677771 305355542 458033313 610711084 763388855 916066626 1221422168 1526777710 1832133252 2290166565 2442844336 3053555420 3664266504 4580333130 6107110840 7328533008 9160666260 12214221680 18321332520 36642665040