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63297999648016 = 2472149219072
BaseRepresentation
bin11100110010001101101101…
…10010001011010100010000
322022010020012102120102002221
432121012312302023110100
531244033300402214031
6342342411040350424
716222062303416200
oct1631066662132420
9268106172512087
1063297999648016
1119194592698021
1271236b0015414
132941c8b96b663
14118b8d4c24400
1574b7d6073a11
hex3991b6c8b510

63297999648016 has 135 divisors (see below), whose sum is σ = 143701959724869. Its totient is φ = 26931519076224.

The previous prime is 63297999647921. The next prime is 63297999648029. The reversal of 63297999648016 is 61084699979236.

The square root of 63297999648016 is 7956004.

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

It can be written as a sum of positive squares in only one way, i.e., 7415796454416 + 55882203193600 = 2723196^2 + 7475440^2 .

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, 33192447735 + ... + 33192449641.

Almost surely, 263297999648016 is an apocalyptic number.

63297999648016 is the 7956004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63297999648016

63297999648016 is an abundant number, since it is smaller than the sum of its proper divisors (80403960076853).

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

63297999648016 is an frugal number, since it uses more digits than its factorization.

63297999648016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 79.

The spelling of 63297999648016 in words is "sixty-three trillion, two hundred ninety-seven billion, nine hundred ninety-nine million, six hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 149 196 298 392 596 784 1043 1192 1907 2086 2384 3814 4172 7301 7628 8344 13349 14602 15256 16688 22201 26698 29204 30512 44402 53396 58408 88804 93443 106792 116816 155407 177608 186886 213584 284143 310814 355216 373772 568286 621628 747544 1087849 1136572 1243256 1495088 1989001 2175698 2273144 2486512 3636649 3978002 4351396 4546288 7273298 7956004 8702792 13923007 14546596 15912008 17405584 25456543 27846014 29093192 31824016 42337307 50913086 55692028 58186384 84674614 101826172 111384056 169349228 178195801 203652344 222768112 296361149 338698456 356391602 407304688 541860701 592722298 677396912 712783204 1083721402 1185444596 1425566408 2074528043 2167442804 2370889192 2851132816 3793024907 4149056086 4334885608 4741778384 7586049814 8298112172 8669771216 15172099628 16596224344 26551174349 30344199256 33192448688 53102348698 60688398512 80737244449 106204697396 161474488898 212409394792 322948977796 424818789584 565160711143 645897955592 1130321422286 1291795911184 2260642844572 3956124978001 4521285689144 7912249956002 9042571378288 15824499912004 31648999824008 63297999648016