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5420879664 = 2431916373631
BaseRepresentation
bin1010000110001110…
…00000111100110000
3111222210100012220220
411003013000330300
542100221122124
62253524133040
7251222500614
oct50307007460
914883305826
105420879664
112331a44142
121073537180
13685100b05
14395d3d344
1521ad91879
hex1431c0f30

5420879664 has 80 divisors (see below), whose sum is σ = 14754055680. Its totient is φ = 1710339840.

The previous prime is 5420879647. The next prime is 5420879671. The reversal of 5420879664 is 4669780245.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491129 + ... + 1494759.

It is an arithmetic number, because the mean of its divisors is an integer number (184425696).

Almost surely, 25420879664 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 5420879664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377027840).

5420879664 is an abundant number, since it is smaller than the sum of its proper divisors (9333176016).

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

5420879664 is a wasteful number, since it uses less digits than its factorization.

5420879664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 5420879664 is about 73626.6233369425. The cubic root of 5420879664 is about 1756.6689387747.

The spelling of 5420879664 in words is "five billion, four hundred twenty million, eight hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1637 3274 3631 4911 6548 7262 9822 10893 13096 14524 19644 21786 26192 29048 31103 39288 43572 58096 62206 68989 78576 87144 93309 124412 137978 174288 186618 206967 248824 275956 373236 413934 497648 551912 746472 827868 1103824 1492944 1655736 3311472 5943947 11887894 17831841 23775788 35663682 47551576 71327364 95103152 112934993 142654728 225869986 285309456 338804979 451739972 677609958 903479944 1355219916 1806959888 2710439832 5420879664