Search a number
-
+
59190226368 = 26371319178301
BaseRepresentation
bin110111001000000000…
…110010110111000000
312122210001212001011020
4313020000302313000
51432210144220433
643105215545440
74163534423430
oct671000626700
9178701761136
1059190226368
1123114381159
12b57a82b280
135773a647b0
142c171022c0
1518165e9cb3
hexdc8032dc0

59190226368 has 224 divisors, whose sum is σ = 202893411840. Its totient is φ = 14788915200.

The previous prime is 59190226321. The next prime is 59190226373. The reversal of 59190226368 is 86362209195.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 59190226368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242818 + ... + 421118.

It is an arithmetic number, because the mean of its divisors is an integer number (905774160).

Almost surely, 259190226368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59190226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101446705920).

59190226368 is an abundant number, since it is smaller than the sum of its proper divisors (143703185472).

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

59190226368 is a wasteful number, since it uses less digits than its factorization.

59190226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178355 (or 178345 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 59190226368 in words is "fifty-nine billion, one hundred ninety million, two hundred twenty-six thousand, three hundred sixty-eight".