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4013451104 = 251319948481
BaseRepresentation
bin1110111100111000…
…0110011101100000
3101100201000102220012
43233032012131200
531204420413404
61502130104052
7201312525425
oct35716063540
911321012805
104013451104
11177a541243
1294011b028
134bc651050
142a1055d4c
15187530a6e
hexef386760

4013451104 has 48 divisors (see below), whose sum is σ = 8552224800. Its totient is φ = 1843015680.

The previous prime is 4013451089. The next prime is 4013451121. The reversal of 4013451104 is 4011543104.

It is a super-2 number, since 2×40134511042 = 32215579528397637632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013451104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58544 + ... + 107024.

It is an arithmetic number, because the mean of its divisors is an integer number (178171350).

Almost surely, 24013451104 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 4013451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276112400).

4013451104 is an abundant number, since it is smaller than the sum of its proper divisors (4538773696).

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

4013451104 is a wasteful number, since it uses less digits than its factorization.

4013451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48703 (or 48695 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4013451104 is about 63351.8042679133. The cubic root of 4013451104 is about 1589.1784192119.

Adding to 4013451104 its reverse (4011543104), we get a palindrome (8024994208).

The spelling of 4013451104 in words is "four billion, thirteen million, four hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 199 208 398 416 796 1592 2587 3184 5174 6368 10348 20696 41392 48481 82784 96962 193924 387848 630253 775696 1260506 1551392 2521012 5042024 9647719 10084048 19295438 20168096 38590876 77181752 125420347 154363504 250840694 308727008 501681388 1003362776 2006725552 4013451104