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58030260800 = 265247771679
BaseRepresentation
bin110110000010110111…
…111000001001000000
312112210020011200112112
4312002313320021000
51422321221321200
642354141514452
74123021035551
oct660267701100
9175706150475
1058030260800
1122679629926
12b2b6272a28
13561a649735
142b47034328
15179986b535
hexd82df8240

58030260800 has 84 divisors (see below), whose sum is σ = 145828999680. Its totient is φ = 22718200320.

The previous prime is 58030260781. The next prime is 58030260809. The reversal of 58030260800 is 806203085.

It is a super-2 number, since 2×580302608002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (58030260809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310640 + ... + 461039.

It is an arithmetic number, because the mean of its divisors is an integer number (1736059520).

Almost surely, 258030260800 is an apocalyptic number.

58030260800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58030260800 is an abundant number, since it is smaller than the sum of its proper divisors (87798738880).

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

58030260800 is a wasteful number, since it uses less digits than its factorization.

58030260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771748 (or 771733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 58030260800 its reverse (806203085), we get a palindrome (58836463885).

The spelling of 58030260800 in words is "fifty-eight billion, thirty million, two hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 160 188 200 235 320 376 400 470 752 800 940 1175 1504 1600 1880 2350 3008 3760 4700 7520 9400 15040 18800 37600 75200 771679 1543358 3086716 3858395 6173432 7716790 12346864 15433580 19291975 24693728 30867160 36268913 38583950 49387456 61734320 72537826 77167900 123468640 145075652 154335800 181344565 246937280 290151304 308671600 362689130 580302608 617343200 725378260 906722825 1160605216 1234686400 1450756520 1813445650 2321210432 2901513040 3626891300 5803026080 7253782600 11606052160 14507565200 29015130400 58030260800