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540810369424 = 241317297151479
BaseRepresentation
bin1111101111010101100…
…11110101100110010000
31220200221000010021121101
413313222303311212100
532330034423310144
61052240031034144
754033533202253
oct7675263654620
91820830107541
10540810369424
111993a139a036
128899036b954
133bcc9073c70
141c26529909a
15e10383e6d4
hex7deacf5990

540810369424 has 80 divisors (see below), whose sum is σ = 1195224750720. Its totient is φ = 234838517760.

The previous prime is 540810369409. The next prime is 540810369439. The reversal of 540810369424 is 424963018045.

It is an interprime number because it is at equal distance from previous prime (540810369409) and next prime (540810369439).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10479717 + ... + 10531195.

It is an arithmetic number, because the mean of its divisors is an integer number (14940309384).

Almost surely, 2540810369424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540810369424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597612375360).

540810369424 is an abundant number, since it is smaller than the sum of its proper divisors (654414381296).

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

540810369424 is a wasteful number, since it uses less digits than its factorization.

540810369424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54488 (or 54482 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 540810369424 in words is "five hundred forty billion, eight hundred ten million, three hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 2971 3536 5942 11884 23768 38623 47536 50507 51479 77246 101014 102958 154492 202028 205916 308984 404056 411832 617968 656591 669227 808112 823664 875143 1313182 1338454 1750286 2626364 2676908 3500572 5252728 5353816 7001144 10505456 10707632 11376859 14002288 22753718 45507436 91014872 152944109 182029744 305888218 611776436 1223552872 1988273417 2447105744 2600049853 3976546834 5200099706 7953093668 10400199412 15906187336 20800398824 31812374672 33800648089 41600797648 67601296178 135202592356 270405184712 540810369424