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5170405344 = 2531311173709
BaseRepresentation
bin1001101000010111…
…00001111111100000
3111100100000210202020
410310023201333200
541042110432334
62213015421440
7242061502026
oct46413417740
914310023666
105170405344
112213617075
121003684880
13645253560
1437097c716
15203db6e49
hex1342e1fe0

5170405344 has 96 divisors (see below), whose sum is σ = 14633367840. Its totient is φ = 1589041152.

The previous prime is 5170405321. The next prime is 5170405349. The reversal of 5170405344 is 4435040715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5170405349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392162 + ... + 1395870.

It is an arithmetic number, because the mean of its divisors is an integer number (152430915).

Almost surely, 25170405344 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 5170405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316683920).

5170405344 is an abundant number, since it is smaller than the sum of its proper divisors (9462962496).

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

5170405344 is a wasteful number, since it uses less digits than its factorization.

5170405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5170405344 is about 71905.5306913175. The cubic root of 5170405344 is about 1729.1852829035.

The spelling of 5170405344 in words is "five billion, one hundred seventy million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1117 1248 2234 3351 3709 4468 6702 7418 8936 11127 13404 14521 14836 17872 22254 26808 29042 29672 35744 43563 44508 48217 53616 58084 59344 87126 89016 96434 107232 116168 118688 144651 174252 178032 192868 232336 289302 348504 356064 385736 464672 578604 697008 771472 1157208 1394016 1542944 2314416 4142953 4628832 8285906 12428859 16571812 24857718 33143624 49715436 53858389 66287248 99430872 107716778 132574496 161575167 198861744 215433556 323150334 397723488 430867112 646300668 861734224 1292601336 1723468448 2585202672 5170405344