Search a number
-
+
74102312840 = 23579113207523
BaseRepresentation
bin100010100000011010…
…1111000111110001000
321002021022120112011012
41011000311320332020
52203230143002330
654013033423052
75232216160253
oct1050065707610
9232238515135
1074102312840
1129476907466
121244086aa88
136cac30c4ba
14382d7a009a
151dda845c95
hex1140d78f88

74102312840 has 64 divisors (see below), whose sum is σ = 170335699200. Its totient is φ = 29006595072.

The previous prime is 74102312839. The next prime is 74102312861. The reversal of 74102312840 is 4821320147.

It is a junction number, because it is equal to n+sod(n) for n = 74102312797 and 74102312806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253319 + ... + 460841.

It is an arithmetic number, because the mean of its divisors is an integer number (2661495300).

Almost surely, 274102312840 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 74102312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85167849600).

74102312840 is an abundant number, since it is smaller than the sum of its proper divisors (96233386360).

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

74102312840 is a wasteful number, since it uses less digits than its factorization.

74102312840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207726 (or 207722 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 74102312840 its reverse (4821320147), we get a palindrome (78923632987).

The spelling of 74102312840 in words is "seventy-four billion, one hundred two million, three hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 113 158 226 316 395 452 565 632 790 904 1130 1580 2260 3160 4520 8927 17854 35708 44635 71416 89270 178540 207523 357080 415046 830092 1037615 1660184 2075230 4150460 8300920 16394317 23450099 32788634 46900198 65577268 81971585 93800396 117250495 131154536 163943170 187600792 234500990 327886340 469001980 655772680 938003960 1852557821 3705115642 7410231284 9262789105 14820462568 18525578210 37051156420 74102312840