Search a number
-
+
610678084352 = 28721719150721
BaseRepresentation
bin10001110001011110100…
…00000001001100000000
32011101021012112221110212
420320233100001030000
540001132042144402
61144312554413252
762056113033200
oct10705720011400
92141235487425
10610678084352
11215a949493a6
129a42aa31228
1345781c82a0b
14217b24b8400
1510d4251e952
hex8e2f401300

610678084352 has 216 divisors, whose sum is σ = 1580428689840. Its totient is φ = 233357967360.

The previous prime is 610678084327. The next prime is 610678084361. The reversal of 610678084352 is 253480876016.

It is a self number, because there is not a number n which added to its sum of digits gives 610678084352.

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 23 ways as a sum of consecutive naturals, for example, 3976352 + ... + 4127072.

It is an arithmetic number, because the mean of its divisors is an integer number (7316799490).

Almost surely, 2610678084352 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 610678084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790214344920).

610678084352 is an abundant number, since it is smaller than the sum of its proper divisors (969750605488).

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

610678084352 is a wasteful number, since it uses less digits than its factorization.

610678084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150787 (or 150766 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 610678084352 in words is "six hundred ten billion, six hundred seventy-eight million, eighty-four thousand, three hundred fifty-two".