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59193049088 = 214174612
BaseRepresentation
bin110111001000001011…
…100100000000000000
312122210021011110012102
4313020023210000000
51432211410032323
643105400245532
74163600421065
oct671013440000
9178707143172
1059193049088
1123115a29988
12b57b7708a8
135774512544
142c17638c6c
1518169a6328
hexdc82e4000

59193049088 has 90 divisors (see below), whose sum is σ = 125618651298. Its totient is φ = 27795128320.

The previous prime is 59193049087. The next prime is 59193049117. The reversal of 59193049088 is 88094039195.

It can be written as a sum of positive squares in 3 ways, for example, as 7223640064 + 51969409024 = 84992^2 + 227968^2 .

It is not an unprimeable number, because it can be changed into a prime (59193049081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128401178 + ... + 128401638.

Almost surely, 259193049088 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 59193049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62809325649).

59193049088 is an abundant number, since it is smaller than the sum of its proper divisors (66425602210).

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

59193049088 is an frugal number, since it uses more digits than its factorization.

59193049088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 59193049088 in words is "fifty-nine billion, one hundred ninety-three million, forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 461 512 544 922 1024 1088 1844 2048 2176 3688 4096 4352 7376 7837 8192 8704 14752 15674 16384 17408 29504 31348 34816 59008 62696 69632 118016 125392 139264 212521 236032 250784 278528 425042 472064 501568 850084 944128 1003136 1700168 1888256 2006272 3400336 3612857 3776512 4012544 6800672 7225714 7553024 8025088 13601344 14451428 16050176 27202688 28902856 32100352 54405376 57805712 64200704 108810752 115611424 128401408 217621504 231222848 435243008 462445696 870486016 924891392 1740972032 1849782784 3481944064 3699565568 7399131136 14798262272 29596524544 59193049088