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74122418120 = 2357144475869
BaseRepresentation
bin100010100001000001…
…0100101011111001000
321002022201101222102012
41011002002211133020
52203300314334440
654015032355052
75232552105242
oct1050202453710
9232281358365
1074122418120
11294871998a3
1212447545a88
136cb352b80a
143832315092
151ddc4b7e65
hex11420a57c8

74122418120 has 64 divisors (see below), whose sum is σ = 169191244800. Its totient is φ = 29219823360.

The previous prime is 74122418099. The next prime is 74122418129. The reversal of 74122418120 is 2181422147.

It is a super-2 number, since 2×741224181202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74122418129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12626546 + ... + 12632414.

It is an arithmetic number, because the mean of its divisors is an integer number (2643613200).

Almost surely, 274122418120 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 74122418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84595622400).

74122418120 is an abundant number, since it is smaller than the sum of its proper divisors (95068826680).

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

74122418120 is a wasteful number, since it uses less digits than its factorization.

74122418120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 74122418120 in words is "seventy-four billion, one hundred twenty-two million, four hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4447 5869 8894 11738 17788 22235 23476 29345 35576 44470 46952 58690 88940 117380 177880 234760 315737 416699 631474 833398 1262948 1578685 1666796 2083495 2525896 3157370 3333592 4166990 6314740 8333980 12629480 16667960 26099443 52198886 104397772 130497215 208795544 260994430 521988860 1043977720 1853060453 3706120906 7412241812 9265302265 14824483624 18530604530 37061209060 74122418120