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61303779216 = 24324724392
BaseRepresentation
bin111001000101111111…
…010110111110010000
312212020100212122121100
4321011333112332100
52001022231413331
644055040424400
74300110345201
oct710577267620
9185210778540
1061303779216
1123aa9426749
12ba6a618100
135a1c8b9394
142d77ab95a8
1518dbe3cae6
hexe45fd6f90

61303779216 has 135 divisors (see below), whose sum is σ = 175693643931. Its totient is φ = 19954256832.

The previous prime is 61303779149. The next prime is 61303779233. The reversal of 61303779216 is 61297730316.

The square root of 61303779216 is 247596.

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

61303779216 is a `hidden beast` number, since 61 + 3 + 0 + 377 + 9 + 216 = 666.

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, 139643925 + ... + 139644363.

Almost surely, 261303779216 is an apocalyptic number.

61303779216 is the 247596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61303779216

61303779216 is an abundant number, since it is smaller than the sum of its proper divisors (114389864715).

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

61303779216 is an equidigital number, since it uses as much as digits as its factorization.

61303779216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 61303779216 in words is "sixty-one billion, three hundred three million, seven hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 439 564 752 846 878 1128 1317 1692 1756 2209 2256 2634 3384 3512 3951 4418 5268 6627 6768 7024 7902 8836 10536 13254 15804 17672 19881 20633 21072 26508 31608 35344 39762 41266 53016 61899 63216 79524 82532 106032 123798 159048 165064 185697 192721 247596 318096 330128 371394 385442 495192 578163 742788 770884 969751 990384 1156326 1485576 1541768 1734489 1939502 2312652 2909253 2971152 3083536 3468978 3879004 4625304 5818506 6937956 7758008 8727759 9057887 9250608 11637012 13875912 15516016 17455518 18115774 23274024 27173661 27751824 34911036 36231548 46548048 54347322 69822072 72463096 81520983 108694644 139644144 144926192 163041966 217389288 326083932 425720689 434778576 652167864 851441378 1277162067 1304335728 1702882756 2554324134 3405765512 3831486201 5108648268 6811531024 7662972402 10217296536 15325944804 20434593072 30651889608 61303779216