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61208739216 = 24325323892
BaseRepresentation
bin111001000000010100…
…110011110110010000
312211222202001010020100
4321000110303312100
52000323414123331
644041403412400
74264544461512
oct710024636620
9184882033210
1061208739216
1123a5a812799
12ba42824100
135a05cc13b1
142d69219bb2
1518d3917ae6
hexe40533d90

61208739216 has 135 divisors (see below), whose sum is σ = 175042482979. Its totient is φ = 19966492416.

The previous prime is 61208739209. The next prime is 61208739223. The reversal of 61208739216 is 61293780216.

The square root of 61208739216 is 247404.

It is a perfect power (a square), and thus also a powerful number.

61208739216 is a `hidden beast` number, since 612 + 0 + 8 + 7 + 3 + 9 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61208739209) and next prime (61208739223).

It can be written as a sum of positive squares in 4 ways, for example, as 148352400 + 61060386816 = 12180^2 + 247104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157348750 + ... + 157349138.

Almost surely, 261208739216 is an apocalyptic number.

61208739216 is the 247404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61208739216

61208739216 is an abundant number, since it is smaller than the sum of its proper divisors (113833743763).

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

61208739216 is an equidigital number, since it uses as much as digits as its factorization.

61208739216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61208739216 in words is "sixty-one billion, two hundred eight million, seven hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 389 424 477 636 778 848 954 1167 1272 1556 1908 2334 2544 2809 3112 3501 3816 4668 5618 6224 7002 7632 8427 9336 11236 14004 16854 18672 20617 22472 25281 28008 33708 41234 44944 50562 56016 61851 67416 82468 101124 123702 134832 151321 164936 185553 202248 247404 302642 329872 371106 404496 453963 494808 605284 742212 907926 989616 1092701 1210568 1361889 1484424 1815852 2185402 2421136 2723778 2968848 3278103 3631704 4370804 5447556 6556206 7263408 8020013 8741608 9834309 10895112 13112412 16040026 17483216 19668618 21790224 24060039 26224824 32080052 39337236 48120078 52449648 64160104 72180117 78674472 96240156 128320208 144360234 157348944 192480312 288720468 384960624 425060689 577440936 850121378 1154881872 1275182067 1700242756 2550364134 3400485512 3825546201 5100728268 6800971024 7651092402 10201456536 15302184804 20402913072 30604369608 61208739216