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57439706496 = 273739320233
BaseRepresentation
bin110101011111101011…
…000101110110000000
312111021001221102022220
4311133223011312000
51420114031101441
642215404131040
74102260310104
oct653753056600
9174231842286
1057439706496
11223a6242717
12b170536a80
1355551aa313
142acc829904
151762ab7466
hexd5fac5d80

57439706496 has 64 divisors (see below), whose sum is σ = 152602399920. Its totient is φ = 19143032832.

The previous prime is 57439706483. The next prime is 57439706497. The reversal of 57439706496 is 69460793475.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57439706497) 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 7 ways as a sum of consecutive naturals, for example, 2828796 + ... + 2849028.

Almost surely, 257439706496 is an apocalyptic number.

It is an amenable number.

57439706496 is an abundant number, since it is smaller than the sum of its proper divisors (95162693424).

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

57439706496 is a wasteful number, since it uses less digits than its factorization.

57439706496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27643 (or 27631 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 57439706496 in words is "fifty-seven billion, four hundred thirty-nine million, seven hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 7393 14786 20233 22179 29572 40466 44358 59144 60699 80932 88716 118288 121398 161864 177432 236576 242796 323728 354864 473152 485592 647456 709728 946304 971184 1294912 1419456 1942368 2589824 2838912 3884736 7769472 149582569 299165138 448747707 598330276 897495414 1196660552 1794990828 2393321104 3589981656 4786642208 7179963312 9573284416 14359926624 19146568832 28719853248 57439706496