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59342421136 = 24296111171877
BaseRepresentation
bin110111010001000101…
…010111110010010000
312200011200020100010111
4313101011113302100
51433013124434021
643132254011104
74200363154105
oct672105276220
9180150210114
1059342421136
1123192282359
12b6017a6a94
13579945167b
142c2d3dcaac
151824b5e8e1
hexdd1157c90

59342421136 has 80 divisors (see below), whose sum is σ = 121063166640. Its totient is φ = 28138199040.

The previous prime is 59342421091. The next prime is 59342421139. The reversal of 59342421136 is 63112424395.

It can be written as a sum of positive squares in 8 ways, for example, as 14289811600 + 45052609536 = 119540^2 + 212256^2 .

It is not an unprimeable number, because it can be changed into a prime (59342421139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31614630 + ... + 31616506.

It is an arithmetic number, because the mean of its divisors is an integer number (1513289583).

Almost surely, 259342421136 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 59342421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60531583320).

59342421136 is an abundant number, since it is smaller than the sum of its proper divisors (61720745504).

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

59342421136 is a wasteful number, since it uses less digits than its factorization.

59342421136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3086 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The spelling of 59342421136 in words is "fifty-nine billion, three hundred forty-two million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1117 1769 1877 2234 3538 3754 4468 7076 7508 8936 14152 15016 17872 28304 30032 32393 54433 64786 68137 108866 114497 129572 136274 217732 228994 259144 272548 435464 457988 518288 545096 870928 915976 1090192 1831952 1975973 2096609 3320413 3951946 4193218 6640826 7903892 8386436 13281652 15807784 16772872 26563304 31615568 33545744 53126608 60801661 121603322 127893149 243206644 255786298 486413288 511572596 972826576 1023145192 2046290384 3708901321 7417802642 14835605284 29671210568 59342421136