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53407056339 = 32713317512801
BaseRepresentation
bin110001101111010011…
…110000000111010011
312002212000210120021200
4301233103300013103
51333334201300324
640311310322243
73600322326420
oct615723600723
9162760716250
1053407056339
112071698899a
12a425ab9383
1350618965b0
142829016d47
1515c8a42ec9
hexc6f4f01d3

53407056339 has 96 divisors (see below), whose sum is σ = 98174189568. Its totient is φ = 27216000000.

The previous prime is 53407056337. The next prime is 53407056341. The reversal of 53407056339 is 93365070435.

53407056339 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 7 + 0 + 5 + 633 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (53407056337) and next prime (53407056341).

It is not a de Polignac number, because 53407056339 - 21 = 53407056337 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53407056294 and 53407056303.

It is not an unprimeable number, because it can be changed into a prime (53407056337) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19065739 + ... + 19068539.

It is an arithmetic number, because the mean of its divisors is an integer number (1022647808).

Almost surely, 253407056339 is an apocalyptic number.

53407056339 is a deficient number, since it is larger than the sum of its proper divisors (44767133229).

53407056339 is a wasteful number, since it uses less digits than its factorization.

53407056339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 53407056339 in words is "fifty-three billion, four hundred seven million, fifty-six thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 217 273 279 403 651 751 819 1209 1953 2253 2801 2821 3627 5257 6759 8403 8463 9763 15771 19607 23281 25209 25389 29289 36413 47313 58821 68341 69843 86831 87867 109239 162967 176463 205023 209529 254891 260493 302653 327717 488901 607817 615069 764673 781479 907959 1128803 1466703 1823451 2103551 2118571 2294019 2723877 3386409 5470353 6310653 6355713 7901621 10159227 14724857 18931959 19067139 23704863 27346163 44174571 65210081 71114589 82038489 132523713 191423141 195630243 246115467 456470567 574269423 586890729 847731053 1369411701 1722808269 2543193159 4108235103 5934117371 7629579477 17802352113 53407056339