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405254467216 = 2461226092
BaseRepresentation
bin1011110010110110000…
…11000110111010010000
31102202000212202221221201
411321123003012322100
523114430120422331
6510101001400544
741164404064264
oct5713303067220
91382025687851
10405254467216
1114695a644395
126665aa99154
132c2a5114a41
1415885d840a4
15a81cd67a61
hex5e5b0c6e90

405254467216 has 45 divisors (see below), whose sum is σ = 798569438043. Its totient is φ = 199229084160.

The previous prime is 405254467171. The next prime is 405254467237. The reversal of 405254467216 is 612764452504.

The square root of 405254467216 is 636596.

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 138089532816 + 267164934400 = 371604^2 + 516880^2 .

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 8 ways as a sum of consecutive naturals, for example, 155328120 + ... + 155330728.

Almost surely, 2405254467216 is an apocalyptic number.

405254467216 is the 636596-th square number.

It is an amenable number.

405254467216 is a deficient number, since it is larger than the sum of its proper divisors (393314970827).

405254467216 is an frugal number, since it uses more digits than its factorization.

405254467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 405254467216 in words is "four hundred five billion, two hundred fifty-four million, four hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 61 122 244 488 976 2609 3721 5218 7442 10436 14884 20872 29768 41744 59536 159149 318298 636596 1273192 2546384 6806881 9708089 13613762 19416178 27227524 38832356 54455048 77664712 108910096 155329424 415219741 830439482 1660878964 3321757928 6643515856 25328404201 50656808402 101313616804 202627233608 405254467216