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61133627464 = 23713241348443
BaseRepresentation
bin111000111011110110…
…010010000001001000
312211210111201001021121
4320323312102001020
52000200202034324
644030121445024
74262643155020
oct707366220110
9184714631247
1061133627464
1123a21380168
12ba21640774
1359c3582c80
142d5d266a80
1518cc02c5e4
hexe3bd92048

61133627464 has 64 divisors (see below), whose sum is σ = 141663392640. Its totient is φ = 24084311040.

The previous prime is 61133627447. The next prime is 61133627537. The reversal of 61133627464 is 46472633116.

It is a self number, because there is not a number n which added to its sum of digits gives 61133627464.

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, 1227 + ... + 349669.

It is an arithmetic number, because the mean of its divisors is an integer number (2213490510).

Almost surely, 261133627464 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 61133627464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70831696320).

61133627464 is an abundant number, since it is smaller than the sum of its proper divisors (80529765176).

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

61133627464 is a wasteful number, since it uses less digits than its factorization.

61133627464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348710 (or 348706 counting only the distinct ones).

The product of its digits is 435456, while the sum is 43.

The spelling of 61133627464 in words is "sixty-one billion, one hundred thirty-three million, six hundred twenty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 482 728 964 1687 1928 3133 3374 6266 6748 12532 13496 21931 25064 43862 87724 175448 348443 696886 1393772 2439101 2787544 4529759 4878202 9059518 9756404 18119036 19512808 31708313 36238072 63416626 83974763 126833252 167949526 253666504 335899052 587823341 671798104 1091671919 1175646682 2183343838 2351293364 4366687676 4702586728 7641703433 8733375352 15283406866 30566813732 61133627464