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5872150255504 = 24132466012
BaseRepresentation
bin101010101110011011101…
…1011100001011110010000
3202210101001020200121022011
41111130313123201132100
51232202130431134004
620253343435152304
71144151233421251
oct125346733413620
922711036617264
105872150255504
111964401807095
127aa08b2a5694
13337983ac0900
141642dc132b28
15a2b34cb7004
hex557376e1790

5872150255504 has 45 divisors (see below), whose sum is σ = 12320052982419. Its totient is φ = 2710165036800.

The previous prime is 5872150255463. The next prime is 5872150255523. The reversal of 5872150255504 is 4055520512785.

It is a happy number.

The square root of 5872150255504 is 2423252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3257952800400 + 2614197455104 = 1804980^2 + 1616848^2 .

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 8 ways as a sum of consecutive naturals, for example, 125985804 + ... + 126032404.

Almost surely, 25872150255504 is an apocalyptic number.

5872150255504 is the 2423252-nd square number.

It is an amenable number.

5872150255504 is an abundant number, since it is smaller than the sum of its proper divisors (6447902726915).

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

5872150255504 is an frugal number, since it uses more digits than its factorization.

5872150255504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93236 (or 46616 counting only the distinct ones).

The product of its (nonzero) digits is 2800000, while the sum is 49.

Multiplying 5872150255504 by its sum of digits (49), we get a square (287735362519696 = 169627642).

The spelling of 5872150255504 in words is "five trillion, eight hundred seventy-two billion, one hundred fifty million, two hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 46601 93202 186404 372808 605813 745616 1211626 2423252 4846504 7875569 9693008 15751138 31502276 63004552 126009104 2171653201 4343306402 8686612804 17373225608 28231491613 34746451216 56462983226 112925966452 225851932904 367009390969 451703865808 734018781938 1468037563876 2936075127752 5872150255504