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61063210656 = 253271747167227
BaseRepresentation
bin111000110111101001…
…101010011010100000
312211121121012111120200
4320313221222122200
52000024140220111
644015124305200
74261126504140
oct706751523240
9184547174520
1061063210656
1123995654a58
12ba01b42200
1359b1ac9816
142d53b76920
1518c5c6d256
hexe37a6a6a0

61063210656 has 576 divisors, whose sum is σ = 216836186112. Its totient is φ = 15904382976.

The previous prime is 61063210651. The next prime is 61063210661. The reversal of 61063210656 is 65601236016.

61063210656 is a `hidden beast` number, since 6 + 1 + 0 + 632 + 10 + 6 + 5 + 6 = 666.

61063210656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61063210651) and next prime (61063210661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61063210656.

It is not an unprimeable number, because it can be changed into a prime (61063210651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269000815 + ... + 269001041.

It is an arithmetic number, because the mean of its divisors is an integer number (376451712).

Almost surely, 261063210656 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 61063210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108418093056).

61063210656 is an abundant number, since it is smaller than the sum of its proper divisors (155772975456).

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

61063210656 is a wasteful number, since it uses less digits than its factorization.

61063210656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61063210656 in words is "sixty-one billion, sixty-three million, two hundred ten thousand, six hundred fifty-six".