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346961016864 = 25347111738421
BaseRepresentation
bin1010000110010000111…
…11001111100000100000
31020011120022100212020000
411003020133033200200
521141034010014424
6423220334420000
734032005661060
oct5031037174040
91204508325200
10346961016864
111241664a3340
12572b0661600
13269450b8357
1412b15ddd3a0
15905a35e3c9
hex50c87cf820

346961016864 has 240 divisors, whose sum is σ = 1272191126976. Its totient is φ = 90119692800.

The previous prime is 346961016863. The next prime is 346961016881. The reversal of 346961016864 is 468610169643.

346961016864 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 610 + 16 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 346961016864.

It is not an unprimeable number, because it can be changed into a prime (346961016863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 669627 + ... + 1068794.

Almost surely, 2346961016864 is an apocalyptic number.

It is an amenable number.

346961016864 is an abundant number, since it is smaller than the sum of its proper divisors (925230110112).

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

346961016864 is a wasteful number, since it uses less digits than its factorization.

346961016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738461 (or 1738444 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 346961016864 in words is "three hundred forty-six billion, nine hundred sixty-one million, sixteen thousand, eight hundred sixty-four".