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58438971400 = 2352836334939
BaseRepresentation
bin110110011011001110…
…111111000000001000
312120211201020100002011
4312123032333000020
51424140334041100
642502501545304
74136113026625
oct663316770010
9176751210064
1058438971400
1122869304187
12b3ab115234
13568421aa24
142b8542534c
1517c06a0bba
hexd9b3bf008

58438971400 has 48 divisors (see below), whose sum is σ = 135890744400. Its totient is φ = 23372124480.

The previous prime is 58438971373. The next prime is 58438971433. The reversal of 58438971400 is 417983485.

58438971400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×584389714002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655131 + ... + 1690069.

It is an arithmetic number, because the mean of its divisors is an integer number (2831057175).

Almost surely, 258438971400 is an apocalyptic number.

58438971400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58438971400 is an abundant number, since it is smaller than the sum of its proper divisors (77451773000).

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

58438971400 is a wasteful number, since it uses less digits than its factorization.

58438971400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43318 (or 43309 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 58438971400 in words is "fifty-eight billion, four hundred thirty-eight million, nine hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8363 16726 33452 34939 41815 66904 69878 83630 139756 167260 174695 209075 279512 334520 349390 418150 698780 836300 873475 1397560 1672600 1746950 3493900 6987800 292194857 584389714 1168779428 1460974285 2337558856 2921948570 5843897140 7304871425 11687794280 14609742850 29219485700 58438971400