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5160444630 = 23511151103561
BaseRepresentation
bin1001100111001011…
…00010001011010110
3111022122021202012220
410303211202023112
541032033212010
62212022123210
7241611025035
oct46345421326
914278252186
105160444630
112208a33480
121000280506
13643176843
1436d50871c
1520309a970
hex1339622d6

5160444630 has 64 divisors (see below), whose sum is σ = 13600590336. Its totient is φ = 1242720000.

The previous prime is 5160444599. The next prime is 5160444637. The reversal of 5160444630 is 364440615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5160444591 and 5160444600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160444637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951 + ... + 101610.

It is an arithmetic number, because the mean of its divisors is an integer number (212509224).

Almost surely, 25160444630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160444630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800295168).

5160444630 is an abundant number, since it is smaller than the sum of its proper divisors (8440145706).

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

5160444630 is a wasteful number, since it uses less digits than its factorization.

5160444630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103733.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5160444630 is about 71836.2347983244. The cubic root of 5160444630 is about 1728.0741519373.

The spelling of 5160444630 in words is "five billion, one hundred sixty million, four hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 755 906 1510 1661 2265 3322 4530 4983 8305 9966 16610 24915 49830 103561 207122 310683 517805 621366 1035610 1139171 1553415 2278342 3106830 3417513 5695855 6835026 11391710 15637711 17087565 31275422 34175130 46913133 78188555 93826266 156377110 172014821 234565665 344029642 469131330 516044463 860074105 1032088926 1720148210 2580222315 5160444630