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74430374260 = 22511289345577
BaseRepresentation
bin100010101010001100…
…1010110000101110100
321010010011212202211011
41011110121112011310
52204413133434020
654105353122004
75243311512454
oct1052431260564
9233104782734
1074430374260
1129625007900
12125126b9304
137032283a98
143861199d64
151e0954935a
hex1154656174

74430374260 has 72 divisors (see below), whose sum is σ = 173735883720. Its totient is φ = 26761405440.

The previous prime is 74430374231. The next prime is 74430374273. The reversal of 74430374260 is 6247303447.

It can be written as a sum of positive squares in 4 ways, for example, as 1336926096 + 73093448164 = 36564^2 + 270358^2 .

It is a super-2 number, since 2×744303742602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42592 + ... + 388168.

It is an arithmetic number, because the mean of its divisors is an integer number (2412998385).

Almost surely, 274430374260 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 74430374260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86867941860).

74430374260 is an abundant number, since it is smaller than the sum of its proper divisors (99305509460).

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

74430374260 is a wasteful number, since it uses less digits than its factorization.

74430374260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345697 (or 345684 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 74430374260 in words is "seventy-four billion, four hundred thirty million, three hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 121 178 220 242 356 445 484 605 890 979 1210 1780 1958 2420 3916 4895 9790 10769 19580 21538 43076 53845 107690 215380 345577 691154 1382308 1727885 3455770 3801347 6911540 7602694 15205388 19006735 30756353 38013470 41814817 61512706 76026940 83629634 123025412 153781765 167259268 209074085 307563530 338319883 418148170 615127060 676639766 836296340 1353279532 1691599415 3383198830 3721518713 6766397660 7443037426 14886074852 18607593565 37215187130 74430374260