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5415059844 = 22331719914821
BaseRepresentation
bin1010000101100001…
…10100000110000100
3111222101101112122000
411002300310012010
542042223403334
62253155305300
7251122151325
oct50260640604
914871345560
105415059844
112329729677
1210715ab230
13683b43b2c
1439526644c
1521a5e2299
hex142c34184

5415059844 has 96 divisors (see below), whose sum is σ = 14940576000. Its totient is φ = 1690191360.

The previous prime is 5415059843. The next prime is 5415059857. The reversal of 5415059844 is 4489505145.

5415059844 is a `hidden beast` number, since 5 + 4 + 1 + 50 + 598 + 4 + 4 = 666.

It is a super-2 number, since 2×54150598442 = 58645746228202608672, 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 5415059844.

It is not an unprimeable number, because it can be changed into a prime (5415059843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357954 + ... + 372774.

It is an arithmetic number, because the mean of its divisors is an integer number (155631000).

Almost surely, 25415059844 is an apocalyptic number.

5415059844 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5415059844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470288000).

5415059844 is an abundant number, since it is smaller than the sum of its proper divisors (9525516156).

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

5415059844 is a wasteful number, since it uses less digits than its factorization.

5415059844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5415059844 is about 73587.0901993006. The cubic root of 5415059844 is about 1756.0400643443.

The spelling of 5415059844 in words is "five billion, four hundred fifteen million, fifty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 199 204 306 398 459 597 612 796 918 1194 1791 1836 2388 3383 3582 5373 6766 7164 10149 10746 13532 14821 20298 21492 29642 30447 40596 44463 59284 60894 88926 91341 121788 133389 177852 182682 251957 266778 365364 400167 503914 533556 755871 800334 1007828 1511742 1600668 2267613 2949379 3023484 4535226 5898758 6802839 8848137 9070452 11797516 13605678 17696274 26544411 27211356 35392548 50139443 53088822 79633233 100278886 106177644 150418329 159266466 200557772 300836658 318532932 451254987 601673316 902509974 1353764961 1805019948 2707529922 5415059844