Search a number
-
+
261274124256 = 25341457145253
BaseRepresentation
bin1111001101010100100…
…1101011111111100000
3220222101122100201010220
43303111021223333200
513240042133434011
6320005551123040
724606421261455
oct3632511537740
9828348321126
10261274124256
11a0895482712
1242778213480
131b83aa24632
14c907c7b82c
156be29a5506
hex3cd526bfe0

261274124256 has 96 divisors (see below), whose sum is σ = 704114697888. Its totient is φ = 84780687360.

The previous prime is 261274124239. The next prime is 261274124299. The reversal of 261274124256 is 652421472162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1726126 + ... + 1871378.

It is an arithmetic number, because the mean of its divisors is an integer number (7334528103).

Almost surely, 2261274124256 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 261274124256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352057348944).

261274124256 is an abundant number, since it is smaller than the sum of its proper divisors (442840573632).

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

261274124256 is a wasteful number, since it uses less digits than its factorization.

261274124256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145764 (or 145756 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 261274124256 in words is "two hundred sixty-one billion, two hundred seventy-four million, one hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 457 492 656 914 984 1312 1371 1828 1968 2742 3656 3936 5484 7312 10968 14624 18737 21936 37474 43872 56211 74948 112422 145253 149896 224844 290506 299792 435759 449688 581012 599584 871518 899376 1162024 1743036 1798752 2324048 3486072 4648096 5955373 6972144 11910746 13944288 17866119 23821492 35732238 47642984 66380621 71464476 95285968 132761242 142928952 190571936 199141863 265522484 285857904 398283726 531044968 571715808 796567452 1062089936 1593134904 2124179872 2721605461 3186269808 5443210922 6372539616 8164816383 10886421844 16329632766 21772843688 32659265532 43545687376 65318531064 87091374752 130637062128 261274124256