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3380380248864 = 253172071311427
BaseRepresentation
bin110001001100001110010…
…111010010101100100000
3102222011100111211000120110
4301030032113102230200
5420341004320430424
611104531504211320
7466136655011343
oct61141627225440
912864314730513
103380380248864
11109367a584713
12467182609b40
131b69cb4aab38
14b987b4b645a
155cde8982c29
hex3130e5d2b20

3380380248864 has 48 divisors (see below), whose sum is σ = 9395468637408. Its totient is φ = 1060511450112.

The previous prime is 3380380248859. The next prime is 3380380248871. The reversal of 3380380248864 is 4688420830833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33803802488642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035654082 + ... + 1035657345.

It is an arithmetic number, because the mean of its divisors is an integer number (195738929946).

Almost surely, 23380380248864 is an apocalyptic number.

3380380248864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3380380248864 is an abundant number, since it is smaller than the sum of its proper divisors (6015088388544).

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

3380380248864 is a wasteful number, since it uses less digits than its factorization.

3380380248864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071311457 (or 2071311449 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 57.

The spelling of 3380380248864 in words is "three trillion, three hundred eighty billion, three hundred eighty million, two hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2071311427 4142622854 6213934281 8285245708 12427868562 16570491416 24855737124 33140982832 35212294259 49711474248 66281965664 70424588518 99422948496 105636882777 140849177036 198845896992 211273765554 281698354072 422547531108 563396708144 845095062216 1126793416288 1690190124432 3380380248864