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36800668140 = 22353891576721
BaseRepresentation
bin100010010001011111…
…011010000111101100
310111222200221122020220
4202101133122013230
51100331432340030
624523410011340
72441645342445
oct422137320754
9114880848226
1036800668140
1114675021725
127170576b50
1336162b8ba2
141ad17182cc
15e55bbba10
hex8917da1ec

36800668140 has 48 divisors (see below), whose sum is σ = 103306825440. Its totient is φ = 9788277760.

The previous prime is 36800668139. The next prime is 36800668169. The reversal of 36800668140 is 4186600863.

It is a happy number.

36800668140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368006681402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36800668092 and 36800668101.

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, 765021 + ... + 811700.

It is an arithmetic number, because the mean of its divisors is an integer number (2152225530).

Almost surely, 236800668140 is an apocalyptic number.

36800668140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36800668140 is an abundant number, since it is smaller than the sum of its proper divisors (66506157300).

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

36800668140 is a wasteful number, since it uses less digits than its factorization.

36800668140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577122 (or 1577120 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 36800668140 in words is "thirty-six billion, eight hundred million, six hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 778 1167 1556 1945 2334 3890 4668 5835 7780 11670 23340 1576721 3153442 4730163 6306884 7883605 9460326 15767210 18920652 23650815 31534420 47301630 94603260 613344469 1226688938 1840033407 2453377876 3066722345 3680066814 6133444690 7360133628 9200167035 12266889380 18400334070 36800668140