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446146515364 = 221129723132
BaseRepresentation
bin1100111111000000110…
…01111001000110100100
31120122120201101020110111
412133200121321012210
524302202001442424
6540542404102404
744142632544454
oct6374031710644
91518521336414
10446146515364
11162234093400
1272571694a04
13330c0c38434
1417844bdbd64
15b912d0a194
hex67e06791a4

446146515364 has 81 divisors (see below), whose sum is σ = 869904503811. Its totient is φ = 200061987840.

The previous prime is 446146515359. The next prime is 446146515383. The reversal of 446146515364 is 463515641644.

The square root of 446146515364 is 667942.

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

It can be written as a sum of positive squares in 4 ways, for example, as 210183737764 + 235962777600 = 458458^2 + 485760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1425388072 + ... + 1425388384.

Almost surely, 2446146515364 is an apocalyptic number.

446146515364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

446146515364 is the 667942-nd square number.

It is an amenable number.

446146515364 is a deficient number, since it is larger than the sum of its proper divisors (423757988447).

446146515364 is an equidigital number, since it uses as much as digits as its factorization.

446146515364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

Multiplying 446146515364 by its sum of digits (49), we get a square (21861179252836 = 46755942).

The spelling of 446146515364 in words is "four hundred forty-six billion, one hundred forty-six million, five hundred fifteen thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 97 121 194 242 313 388 484 626 1067 1252 2134 3443 4268 6886 9409 11737 13772 18818 23474 30361 37636 37873 46948 60722 75746 97969 103499 121444 151492 195938 206998 333971 391876 413996 667942 1077659 1138489 1335884 2155318 2276978 2945017 3673681 4310636 4553956 5890034 7347362 9502993 11780068 11854249 14694724 19005986 23708498 32395187 38011972 47416996 64790374 104532923 129580748 209065846 356347057 418131692 712694114 921790321 1149862153 1425388228 1843580642 2299724306 3687161284 4599448612 10139693531 20279387062 40558774124 111536628841 223073257682 446146515364