Search a number
-
+
58155723100 = 22522337683381
BaseRepresentation
bin110110001010010110…
…011110100101011100
312120002222020211110101
4312022112132211130
51423100331114400
642414422550444
74126103330056
oct661226364534
9176088224411
1058155723100
1122733431582
12b330298424
13563a636997
142b599728d6
1517a58a056a
hexd8a59e95c

58155723100 has 72 divisors (see below), whose sum is σ = 135244031328. Its totient is φ = 21649478400.

The previous prime is 58155723097. The next prime is 58155723107. The reversal of 58155723100 is 132755185.

It is a happy number.

It is a super-2 number, since 2×581557231002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 58155723100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58155723107) 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 23 ways as a sum of consecutive naturals, for example, 256591 + ... + 426790.

It is an arithmetic number, because the mean of its divisors is an integer number (1878389324).

Almost surely, 258155723100 is an apocalyptic number.

58155723100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58155723100 is an abundant number, since it is smaller than the sum of its proper divisors (77088308228).

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

58155723100 is a wasteful number, since it uses less digits than its factorization.

58155723100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683455 (or 683448 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 58155723100 in words is "fifty-eight billion, one hundred fifty-five million, seven hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 100 115 148 185 230 370 460 575 740 851 925 1150 1702 1850 2300 3404 3700 4255 8510 17020 21275 42550 85100 683381 1366762 2733524 3416905 6833810 13667620 15717763 17084525 25285097 31435526 34169050 50570194 62871052 68338100 78588815 101140388 126425485 157177630 252850970 314355260 392944075 505701940 581557231 632127425 785888150 1163114462 1264254850 1571776300 2326228924 2528509700 2907786155 5815572310 11631144620 14538930775 29077861550 58155723100