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3874114524 = 2237292416599
BaseRepresentation
bin1110011011101010…
…0100101111011100
3100222222211102001010
43212322210233130
530413233131044
61440231415220
7165001300350
oct34672445734
910888742033
103874114524
111708922645
12901524510
13499816977
1428a745460
1517a1aabb9
hexe6ea4bdc

3874114524 has 96 divisors (see below), whose sum is σ = 10733184000. Its totient is φ = 1064125440.

The previous prime is 3874114523. The next prime is 3874114537. The reversal of 3874114524 is 4254114783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874114523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583777 + ... + 590375.

It is an arithmetic number, because the mean of its divisors is an integer number (111804000).

Almost surely, 23874114524 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 3874114524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366592000).

3874114524 is an abundant number, since it is smaller than the sum of its proper divisors (6859069476).

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

3874114524 is a wasteful number, since it uses less digits than its factorization.

3874114524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6881 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 3874114524 is about 62242.3852692038. The cubic root of 3874114524 is about 1570.5706776332.

The spelling of 3874114524 in words is "three billion, eight hundred seventy-four million, one hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 241 348 406 482 609 723 812 964 1218 1446 1687 2436 2892 3374 5061 6599 6748 6989 10122 13198 13978 19797 20244 20967 26396 27956 39594 41934 46193 48923 79188 83868 92386 97846 138579 146769 184772 191371 195692 277158 293538 382742 554316 574113 587076 765484 1148226 1339597 1590359 2296452 2679194 3180718 4018791 4771077 5358388 6361436 8037582 9542154 11132513 16075164 19084308 22265026 33397539 44530052 46120411 66795078 92240822 133590156 138361233 184481644 276722466 322842877 553444932 645685754 968528631 1291371508 1937057262 3874114524