Search a number
-
+
58396522800 = 2435271119293137
BaseRepresentation
bin110110011000101101…
…000011100100110000
312120201202100201112210
4312120231003210300
51424044002212200
642454344052120
74135056153030
oct663055034460
9176652321483
1058396522800
11228473509a0
12b398a64040
1356784a7805
142b7d9358c0
1517bbab8650
hexd98b43930

58396522800 has 1920 divisors, whose sum is σ = 269239910400. Its totient is φ = 10450944000.

The previous prime is 58396522783. The next prime is 58396522813. The reversal of 58396522800 is 822569385.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58396522800.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1578284382 + ... + 1578284418.

It is an arithmetic number, because the mean of its divisors is an integer number (140229120).

Almost surely, 258396522800 is an apocalyptic number.

58396522800 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 58396522800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134619955200).

58396522800 is an abundant number, since it is smaller than the sum of its proper divisors (210843387600).

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

58396522800 is a wasteful number, since it uses less digits than its factorization.

58396522800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 58396522800 in words is "fifty-eight billion, three hundred ninety-six million, five hundred twenty-two thousand, eight hundred".