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3721862142 = 233531737517
BaseRepresentation
bin1101110111010111…
…0001101111111110
3100121101100012001000
43131311301233332
530110244042032
61413152231130
7161142210015
oct33565615776
910541305030
103721862142
11163a992129
1287a53b4a6
134741097bb
14274431a7c
1516bb33e7c
hexddd71bfe

3721862142 has 64 divisors (see below), whose sum is σ = 8476695360. Its totient is φ = 1210015872.

The previous prime is 3721862087. The next prime is 3721862147. The reversal of 3721862142 is 2412681273.

It is a happy number.

3721862142 is a `hidden beast` number, since 3 + 7 + 21 + 8 + 621 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3721862097 and 3721862106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3721862147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491368 + ... + 498884.

It is an arithmetic number, because the mean of its divisors is an integer number (132448365).

Almost surely, 23721862142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3721862142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238347680).

3721862142 is an abundant number, since it is smaller than the sum of its proper divisors (4754833218).

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

3721862142 is a wasteful number, since it uses less digits than its factorization.

3721862142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7748 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3721862142 is about 61007.0663284181. The cubic root of 3721862142 is about 1549.7206769646.

The spelling of 3721862142 in words is "three billion, seven hundred twenty-one million, eight hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 173 318 346 477 519 954 1038 1431 1557 2862 3114 4671 7517 9169 9342 15034 18338 22551 27507 45102 55014 67653 82521 135306 165042 202959 247563 398401 405918 495126 796802 1195203 1300441 2390406 2600882 3585609 3901323 7171218 7802646 10756827 11703969 21513654 23407938 35111907 68923373 70223814 137846746 206770119 413540238 620310357 1240620714 1860931071 3721862142