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557114610304 = 2774314459993
BaseRepresentation
bin10000001101101101001…
…11100101001010000000
31222021000021102112102201
420012312213211022000
533111432320012204
61103533535322544
755151551024240
oct10066647451200
91867007375381
10557114610304
111a52a874557a
128bb80680454
13406c6b81385
141cd707c5b20
15e759dd09a4
hex81b69e5280

557114610304 has 64 divisors (see below), whose sum is σ = 1297929061440. Its totient is φ = 233210750976.

The previous prime is 557114610293. The next prime is 557114610319. The reversal of 557114610304 is 403016411755.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7191469 + ... + 7268524.

It is an arithmetic number, because the mean of its divisors is an integer number (20280141585).

Almost surely, 2557114610304 is an apocalyptic number.

It is an amenable number.

557114610304 is an abundant number, since it is smaller than the sum of its proper divisors (740814451136).

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

557114610304 is a wasteful number, since it uses less digits than its factorization.

557114610304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460057 (or 14460045 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 557114610304 in words is "five hundred fifty-seven billion, one hundred fourteen million, six hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 19264 38528 14459993 28919986 57839972 101219951 115679944 202439902 231359888 404879804 462719776 621779699 809759608 925439552 1243559398 1619519216 1850879104 2487118796 3239038432 4352457893 4974237592 6478076864 8704915786 9948475184 12956153728 17409831572 19896950368 34819663144 39793900736 69639326288 79587801472 139278652576 278557305152 557114610304