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507590702116 = 22101235272
BaseRepresentation
bin1110110001011101100…
…00110111010000100100
31210112011212110022222221
413120232300313100210
531304021204431431
61025103422202124
751446366531251
oct7305660672044
91715155408887
10507590702116
111862a479a333
128245b123344
1338b339454a4
141a7d33c6428
15d30c230111
hex762ec37424

507590702116 has 27 divisors (see below), whose sum is σ = 897420138097. Its totient is φ = 251211280400.

The previous prime is 507590702093. The next prime is 507590702117. The reversal of 507590702116 is 611207095705.

The square root of 507590702116 is 712454.

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

It can be written as a sum of positive squares in only one way, i.e., 487687135716 + 19903566400 = 698346^2 + 141080^2 .

It is a super-2 number, since 2×5075907021162 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507590702117) 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 8 ways as a sum of consecutive naturals, for example, 143913945 + ... + 143917471.

Almost surely, 2507590702116 is an apocalyptic number.

507590702116 is the 712454-th square number.

It is an amenable number.

507590702116 is a deficient number, since it is larger than the sum of its proper divisors (389829435981).

507590702116 is an frugal number, since it uses more digits than its factorization.

507590702116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 43.

The spelling of 507590702116 in words is "five hundred seven billion, five hundred ninety million, seven hundred two thousand, one hundred sixteen".

Divisors: 1 2 4 101 202 404 3527 7054 10201 14108 20402 40804 356227 712454 1424908 12439729 24879458 35978927 49758916 71957854 143915708 1256412629 2512825258 5025650516 126897675529 253795351058 507590702116