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540449223952 = 24112337828361
BaseRepresentation
bin1111101110101010100…
…10001011010100010000
31220122222211120012011011
413313111102023110100
532323320000131302
61052140130300304
754021556415101
oct7672522132420
91818884505134
10540449223952
11199226552100
12888ab427694
133bc6c2b7a11
141c22d32a3a8
15e0d1ca35d7
hex7dd548b510

540449223952 has 60 divisors (see below), whose sum is σ = 1154383745788. Its totient is φ = 244929484800.

The previous prime is 540449223947. The next prime is 540449223953. The reversal of 540449223952 is 259322944045.

It can be written as a sum of positive squares in 2 ways, for example, as 132056652816 + 408392571136 = 363396^2 + 639056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540449223896 and 540449223905.

It is not an unprimeable number, because it can be changed into a prime (540449223953) 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 11 ways as a sum of consecutive naturals, for example, 238252 + ... + 1066612.

Almost surely, 2540449223952 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 540449223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577191872894).

540449223952 is an abundant number, since it is smaller than the sum of its proper divisors (613934521836).

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

540449223952 is a wasteful number, since it uses less digits than its factorization.

540449223952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828728 (or 828711 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 540449223952 in words is "five hundred forty billion, four hundred forty-nine million, two hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 337 484 674 968 1348 1936 2696 3707 5392 7414 14828 29656 40777 59312 81554 163108 326216 652432 828361 1656722 3313444 6626888 9111971 13253776 18223942 36447884 72895768 100231681 145791536 200463362 279157657 400926724 558315314 801853448 1116630628 1603706896 2233261256 3070734227 4466522512 6141468454 12282936908 24565873816 33778076497 49131747632 67556152994 135112305988 270224611976 540449223952