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540879797007 = 32113291556977
BaseRepresentation
bin1111101111011101111…
…00101011101100001111
31220201002211202120100100
413313232330223230033
532330210212001012
61052250551102143
754035335263114
oct7675674535417
91821084676310
10540879797007
111994275aa000
12889ab671953
133c00a572084
141c2705ac90b
15e1099a58dc
hex7deef2bb0f

540879797007 has 48 divisors (see below), whose sum is σ = 888972158880. Its totient is φ = 316502081280.

The previous prime is 540879796973. The next prime is 540879797009. The reversal of 540879797007 is 700797978045.

540879797007 is a `hidden beast` number, since 540 + 87 + 9 + 7 + 9 + 7 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 540879797007 - 210 = 540879795983 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540879797009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431098 + ... + 1125879.

It is an arithmetic number, because the mean of its divisors is an integer number (18520253310).

Almost surely, 2540879797007 is an apocalyptic number.

540879797007 is a deficient number, since it is larger than the sum of its proper divisors (348092361873).

540879797007 is a wasteful number, since it uses less digits than its factorization.

540879797007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557045 (or 1557020 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 540879797007 in words is "five hundred forty billion, eight hundred seventy-nine million, seven hundred ninety-seven thousand, seven".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 1331 2871 3509 3993 10527 11979 31581 38599 115797 347391 1556977 4670931 14012793 17126747 45152333 51380241 135456999 154140723 188394217 406370997 496675663 565182651 1490026989 1695547953 2072336387 4470080967 5463432293 6217009161 16390296879 18651027483 49170890637 60097755223 180293265669 540879797007