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345656870020 = 2257111771185959
BaseRepresentation
bin1010000011110101100…
…00010100010010000100
31020001012102101100002001
411001322300110102010
521130401124320040
6422443110155044
733654461626510
oct5017260242204
91201172340061
10345656870020
11123657323530
1256ba7952a84
1326797b5aa27
1412a30b1d140
158ed0b0059a
hex507ac14484

345656870020 has 192 divisors, whose sum is σ = 971728773120. Its totient is φ = 99971020800.

The previous prime is 345656870011. The next prime is 345656870033. The reversal of 345656870020 is 20078656543.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1765801 + ... + 1951759.

It is an arithmetic number, because the mean of its divisors is an integer number (5061087360).

Almost surely, 2345656870020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345656870020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485864386560).

345656870020 is an abundant number, since it is smaller than the sum of its proper divisors (626071903100).

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

345656870020 is a wasteful number, since it uses less digits than its factorization.

345656870020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186074 (or 186072 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 345656870020 in words is "three hundred forty-five billion, six hundred fifty-six million, eight hundred seventy thousand, twenty".