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61314668744 = 23761113158843
BaseRepresentation
bin111001000110101000…
…111001100011001000
312212021010100220020012
4321012220321203020
52001033023344434
644100110051052
74300302041120
oct710650714310
9185233326205
1061314668744
112400459415a
12ba721a9a88
135a21c2caa4
142d79311c80
1518dcd8e3ce
hexe46a398c8

61314668744 has 64 divisors (see below), whose sum is σ = 134725127040. Its totient is φ = 25618037760.

The previous prime is 61314668731. The next prime is 61314668801. The reversal of 61314668744 is 44786641316.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61314668692 and 61314668701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306587 + ... + 465429.

It is an arithmetic number, because the mean of its divisors is an integer number (2105080110).

Almost surely, 261314668744 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 61314668744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67362563520).

61314668744 is an abundant number, since it is smaller than the sum of its proper divisors (73410458296).

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

61314668744 is a wasteful number, since it uses less digits than its factorization.

61314668744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159030 (or 159026 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The spelling of 61314668744 in words is "sixty-one billion, three hundred fourteen million, six hundred sixty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 61 113 122 226 244 427 452 488 791 854 904 1582 1708 3164 3416 6328 6893 13786 27572 48251 55144 96502 158843 193004 317686 386008 635372 1111901 1270744 2223802 4447604 8895208 9689423 17949259 19378846 35898518 38757692 67825961 71797036 77515384 125644813 135651922 143594072 251289626 271303844 502579252 542607688 1005158504 1094904799 2189809598 4379619196 7664333593 8759238392 15328667186 30657334372 61314668744