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261424747864 = 23721990738699
BaseRepresentation
bin1111001101111000100…
…0010001010101011000
3220222210010210011220001
43303132020101111120
513240344213412424
6320032531342344
724613230456400
oct3633610212530
9828703704801
10261424747864
11a0962500435
12427ba7519b4
131b862cb1327
14c91dc89800
156c00d09844
hex3cde211558

261424747864 has 96 divisors (see below), whose sum is σ = 600887160000. Its totient is φ = 106022613312.

The previous prime is 261424747853. The next prime is 261424747879. The reversal of 261424747864 is 468747424162.

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, 6735987 + ... + 6774685.

It is an arithmetic number, because the mean of its divisors is an integer number (6259241250).

Almost surely, 2261424747864 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 261424747864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300443580000).

261424747864 is an abundant number, since it is smaller than the sum of its proper divisors (339462412136).

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

261424747864 is a wasteful number, since it uses less digits than its factorization.

261424747864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39645 (or 39634 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 55.

The spelling of 261424747864 in words is "two hundred sixty-one billion, four hundred twenty-four million, seven hundred forty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 907 931 1064 1814 1862 3628 3724 6349 7256 7448 12698 17233 25396 34466 38699 44443 50792 68932 77398 88886 120631 137864 154796 177772 241262 270893 309592 355544 482524 541786 735281 844417 965048 1083572 1470562 1688834 1896251 2167144 2941124 3377668 3792502 5146967 5882248 6755336 7585004 10293934 15170008 20587868 35099993 36028769 41175736 70199986 72057538 140399972 144115076 245699951 280799944 288230152 491399902 666899867 982799804 1333799734 1719899657 1965599608 2667599468 3439799314 4668299069 5335198936 6879598628 9336598138 13759197256 18673196276 32678093483 37346392552 65356186966 130712373932 261424747864