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514329379540 = 22545756272361
BaseRepresentation
bin1110111110000000110…
…10111000001011010100
31211011120111110121121021
413133000122320023110
531411321310121130
61032140223330524
752105363410154
oct7370032701324
91734514417537
10514329379540
11189142587429
128381ba50a44
1339668a73192
141ac7235a764
15d5a3b2a37a
hex77c06b82d4

514329379540 has 24 divisors (see below), whose sum is σ = 1082455155432. Its totient is φ = 205281569280.

The previous prime is 514329379507. The next prime is 514329379639. The reversal of 514329379540 is 45973923415.

It can be written as a sum of positive squares in 4 ways, for example, as 54555879184 + 459773500356 = 233572^2 + 678066^2 .

It is a super-2 number, since 2×5143293795402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28127041 + ... + 28145320.

It is an arithmetic number, because the mean of its divisors is an integer number (45102298143).

Almost surely, 2514329379540 is an apocalyptic number.

It is an amenable number.

514329379540 is an abundant number, since it is smaller than the sum of its proper divisors (568125775892).

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

514329379540 is a wasteful number, since it uses less digits than its factorization.

514329379540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56272827 (or 56272825 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 514329379540 in words is "five hundred fourteen billion, three hundred twenty-nine million, three hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 4570 9140 56272361 112544722 225089444 281361805 562723610 1125447220 25716468977 51432937954 102865875908 128582344885 257164689770 514329379540