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512351316120 = 23357718590733
BaseRepresentation
bin1110111010010101000…
…01001010100010011000
31210222110122101120201010
413131022201022202120
531343243414103440
61031212042453520
752005354221340
oct7351241124230
91728418346633
10512351316120
11188317a63076
12833695042a0
1339412009857
141ab25771d20
15d4da14c580
hex774a84a898

512351316120 has 128 divisors (see below), whose sum is σ = 1781374602240. Its totient is φ = 115459438080.

The previous prime is 512351316097. The next prime is 512351316133. The reversal of 512351316120 is 21613153215.

It is a super-2 number, since 2×5123513161202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4235727 + ... + 4355006.

It is an arithmetic number, because the mean of its divisors is an integer number (13916989080).

Almost surely, 2512351316120 is an apocalyptic number.

It is an amenable number.

512351316120 is an abundant number, since it is smaller than the sum of its proper divisors (1269023286120).

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

512351316120 is a wasteful number, since it uses less digits than its factorization.

512351316120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590825 (or 8590821 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 512351316120 its reverse (21613153215), we get a palindrome (533964469335).

The spelling of 512351316120 in words is "five hundred twelve billion, three hundred fifty-one million, three hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1491 1704 1988 2130 2485 2840 2982 3976 4260 4970 5964 7455 8520 9940 11928 14910 19880 29820 59640 8590733 17181466 25772199 34362932 42953665 51544398 60135131 68725864 85907330 103088796 120270262 128860995 171814660 180405393 206177592 240540524 257721990 300675655 343629320 360810786 481081048 515443980 601351310 609942043 721621572 902026965 1030887960 1202702620 1219884086 1443243144 1804053930 1829826129 2405405240 2439768172 3049710215 3608107860 3659652258 4269594301 4879536344 6099420430 7216215720 7319304516 8539188602 9149130645 12198840860 12808782903 14638609032 17078377204 18298261290 21347971505 24397681720 25617565806 34156754408 36596522580 42695943010 51235131612 64043914515 73193045160 85391886020 102470263224 128087829030 170783772040 256175658060 512351316120