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57439376000 = 27535476563
BaseRepresentation
bin110101011111101001…
…110101001010000000
312111021001022121222022
4311133221311022000
51420113440013000
642215353101012
74102254432416
oct653751651200
9174231277868
1057439376000
11223a6037386
12b1703b7768
1355550c2a66
142acc7812b6
151762a4e585
hexd5fa75280

57439376000 has 128 divisors (see below), whose sum is σ = 143091524160. Its totient is φ = 22930252800.

The previous prime is 57439375999. The next prime is 57439376003. The reversal of 57439376000 is 67393475.

57439376000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (57439376003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8748719 + ... + 8755281.

Almost surely, 257439376000 is an apocalyptic number.

57439376000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57439376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71545762080).

57439376000 is an abundant number, since it is smaller than the sum of its proper divisors (85652148160).

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

57439376000 is an equidigital number, since it uses as much as digits as its factorization.

57439376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The spelling of 57439376000 in words is "fifty-seven billion, four hundred thirty-nine million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 547 640 800 1000 1094 1600 2000 2188 2735 3200 4000 4376 5470 6563 8000 8752 10940 13126 13675 16000 17504 21880 26252 27350 32815 35008 43760 52504 54700 65630 68375 70016 87520 105008 109400 131260 136750 164075 175040 210016 218800 262520 273500 328150 350080 420032 437600 525040 547000 656300 820375 840064 875200 1050080 1094000 1312600 1640750 1750400 2100160 2188000 2625200 3281500 3589961 4200320 4376000 5250400 6563000 7179922 8752000 10500800 13126000 14359844 17949805 21001600 26252000 28719688 35899610 52504000 57439376 71799220 89749025 105008000 114878752 143598440 179498050 229757504 287196880 358996100 448745125 459515008 574393760 717992200 897490250 1148787520 1435984400 1794980500 2297575040 2871968800 3589961000 5743937600 7179922000 11487875200 14359844000 28719688000 57439376000