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79135102128 = 24337173257561
BaseRepresentation
bin100100110110011010…
…0011101010010110000
321120021001122201011110
41021230310131102300
52244032041232003
6100204255513320
75501020161315
oct1115464352260
9246231581143
1079135102128
113061977a555
1213406228840
137601bab824
143b89d58d0c
1520d25c7a03
hex126cd1d4b0

79135102128 has 80 divisors (see below), whose sum is σ = 211171993056. Its totient is φ = 25516984320.

The previous prime is 79135102063. The next prime is 79135102157. The reversal of 79135102128 is 82120153197.

It is a happy number.

It is an unprimeable number.

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, 178468 + ... + 436028.

Almost surely, 279135102128 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 79135102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105585996528).

79135102128 is an abundant number, since it is smaller than the sum of its proper divisors (132036890928).

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

79135102128 is a wasteful number, since it uses less digits than its factorization.

79135102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257782 (or 257776 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 79135102128 in words is "seventy-nine billion, one hundred thirty-five million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 173 222 296 346 444 519 592 692 888 1038 1384 1776 2076 2768 4152 6401 8304 12802 19203 25604 38406 51208 76812 102416 153624 257561 307248 515122 772683 1030244 1545366 2060488 3090732 4120976 6181464 9529757 12362928 19059514 28589271 38119028 44558053 57178542 76238056 89116106 114357084 133674159 152476112 178232212 228714168 267348318 356464424 457428336 534696636 712928848 1069393272 1648647961 2138786544 3297295922 4945943883 6594591844 9891887766 13189183688 19783775532 26378367376 39567551064 79135102128