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3437193166980 = 223557286552783
BaseRepresentation
bin110010000001001000101…
…011011000000010000100
3110011120222220100021212220
4302001020223120002010
5422303332422320410
611151005202212340
7503220564601206
oct62011053300204
913146886307786
103437193166980
111105783a31a01
124761990540b0
131bc183870351
14bc50a984776
155e6214da070
hex32048ad8084

3437193166980 has 24 divisors (see below), whose sum is σ = 9624140867712. Its totient is φ = 916584844512.

The previous prime is 3437193166973. The next prime is 3437193166997. The reversal of 3437193166980 is 896613917343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 57286552783 = 3437193166980 / (3 + 4 + 3 + 7 + 1 + 9 + 3 + 1 + 6 + 6 + 9 + 8 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28643276332 + ... + 28643276451.

It is an arithmetic number, because the mean of its divisors is an integer number (401005869488).

Almost surely, 23437193166980 is an apocalyptic number.

3437193166980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3437193166980 is an abundant number, since it is smaller than the sum of its proper divisors (6186947700732).

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

3437193166980 is a wasteful number, since it uses less digits than its factorization.

3437193166980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57286552795 (or 57286552793 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 3437193166980 in words is "three trillion, four hundred thirty-seven billion, one hundred ninety-three million, one hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 57286552783 114573105566 171859658349 229146211132 286432763915 343719316698 572865527830 687438633396 859298291745 1145731055660 1718596583490 3437193166980