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57460341882320 = 24513143938394947
BaseRepresentation
bin11010001000010100001110…
…10001000011110111010000
321112110011012000120211122022
431010022013101003313100
530012412240010213240
6322112525555031012
715050241560214446
oct1504120721036720
9245404160524568
1057460341882320
1117343881006063
12654024829b468
13260a643bba140
141029149a4cb96
15699a1e4dd9b5
hex344287443dd0

57460341882320 has 80 divisors (see below), whose sum is σ = 143971840212480. Its totient is φ = 21201382021632.

The previous prime is 57460341882283. The next prime is 57460341882341. The reversal of 57460341882320 is 2328814306475.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 17700914 + ... + 20694033.

It is an arithmetic number, because the mean of its divisors is an integer number (1799648002656).

Almost surely, 257460341882320 is an apocalyptic number.

It is an amenable number.

57460341882320 is an abundant number, since it is smaller than the sum of its proper divisors (86511498330160).

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

57460341882320 is a wasteful number, since it uses less digits than its factorization.

57460341882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38396412 (or 38396406 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 57460341882320 in words is "fifty-seven trillion, four hundred sixty billion, three hundred forty-one million, eight hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1439 2878 5756 7195 11512 14390 18707 23024 28780 37414 57560 74828 93535 115120 149656 187070 299312 374140 748280 1496560 38394947 76789894 153579788 191974735 307159576 383949470 499134311 614319152 767898940 998268622 1535797880 1996537244 2495671555 3071595760 3993074488 4991343110 7986148976 9982686220 19965372440 39930744880 55250328733 110500657466 221001314932 276251643665 442002629864 552503287330 718254273529 884005259728 1105006574660 1436508547058 2210013149320 2873017094116 3591271367645 4420026298640 5746034188232 7182542735290 11492068376464 14365085470580 28730170941160 57460341882320