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57146130734 = 27211174766347
BaseRepresentation
bin110101001110001011…
…001100000100101110
312110111121112020002112
4311032023030010232
51414013402140414
642130315524022
74062064045100
oct651613140456
9173447466075
1057146130734
1122265556920
12b0aa159612
13550941b654
142aa1849570
151746e26d3e
hexd4e2cc12e

57146130734 has 96 divisors (see below), whose sum is σ = 117630226944. Its totient is φ = 20508875520.

The previous prime is 57146130677. The next prime is 57146130739. The reversal of 57146130734 is 43703164175.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57146130691 and 57146130700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57146130739) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 828149 + ... + 894495.

It is an arithmetic number, because the mean of its divisors is an integer number (1225314864).

Almost surely, 257146130734 is an apocalyptic number.

57146130734 is an abundant number, since it is smaller than the sum of its proper divisors (60484096210).

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

57146130734 is a wasteful number, since it uses less digits than its factorization.

57146130734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66438 (or 66431 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 57146130734 in words is "fifty-seven billion, one hundred forty-six million, one hundred thirty thousand, seven hundred thirty-four".

Divisors: 1 2 7 11 14 17 22 34 47 49 77 94 98 119 154 187 238 329 374 517 539 658 799 833 1034 1078 1309 1598 1666 2303 2618 3619 4606 5593 7238 8789 9163 11186 17578 18326 25333 39151 50666 61523 66347 78302 123046 132694 430661 464429 729817 861322 928858 1127899 1459634 2255798 3118309 3251003 5108719 6236618 6502006 7895293 10217438 12406889 15790586 21828163 24813778 34301399 35761033 43656326 53011253 55267051 68602798 71522066 86848223 106022506 110534102 152797141 173696446 240109793 305594282 371078771 480219586 583123783 607937561 742157542 1166247566 1215875122 1680768551 2597551397 3361537102 4081866481 5195102794 8163732962 28573065367 57146130734