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514205246152 = 2313191132302879
BaseRepresentation
bin1110111101110010000…
…01010110001011001000
31211011020211212222121101
413132321001112023020
531411043020334102
61032120030551144
752102325322223
oct7367101261310
91734224788541
10514205246152
11189089502154
12837a63684b4
133964912ca80
141ac5da865ba
15d597ca9e87
hex77b90562c8

514205246152 has 64 divisors (see below), whose sum is σ = 1102618944000. Its totient is φ = 222844898304.

The previous prime is 514205246143. The next prime is 514205246161. The reversal of 514205246152 is 251642502415.

It is an interprime number because it is at equal distance from previous prime (514205246143) and next prime (514205246161).

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 15 ways as a sum of consecutive naturals, for example, 928152 + ... + 1374727.

It is an arithmetic number, because the mean of its divisors is an integer number (17228421000).

Almost surely, 2514205246152 is an apocalyptic number.

514205246152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

514205246152 is an abundant number, since it is smaller than the sum of its proper divisors (588413697848).

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

514205246152 is a wasteful number, since it uses less digits than its factorization.

514205246152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303030 (or 2303026 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 514205246152 its reverse (251642502415), we get a palindrome (765847748567).

The spelling of 514205246152 in words is "five hundred fourteen billion, two hundred five million, two hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 113 152 226 247 452 494 904 988 1469 1976 2147 2938 4294 5876 8588 11752 17176 27911 55822 111644 223288 2302879 4605758 9211516 18423032 29937427 43754701 59874854 87509402 119749708 175018804 239499416 260225327 350037608 520450654 568811113 1040901308 1137622226 2081802616 2275244452 3382929251 4550488904 4944281213 6765858502 9888562426 13531717004 19777124852 27063434008 39554249704 64275655769 128551311538 257102623076 514205246152