Search a number
-
+
1604910290496 = 263101103180273
BaseRepresentation
bin10111010110101100000…
…110111001011001000000
312200102112221212002020020
4113112230012321121000
5202243324013243441
63225141405213440
7223644113245542
oct27265406713100
95612487762206
101604910290496
11569703023407
1221b061261280
13b845b304c86
145796c8b9692
152bb32719e66
hex175ac1b9640

1604910290496 has 112 divisors (see below), whose sum is σ = 4292580866688. Its totient is φ = 529153024000.

The previous prime is 1604910290419. The next prime is 1604910290513. The reversal of 1604910290496 is 6940920194061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19953016 + ... + 20033288.

Almost surely, 21604910290496 is an apocalyptic number.

1604910290496 is a gapful number since it is divisible by the number (16) 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 1604910290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146290433344).

1604910290496 is an abundant number, since it is smaller than the sum of its proper divisors (2687670576192).

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

1604910290496 is a wasteful number, since it uses less digits than its factorization.

1604910290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81420 (or 81410 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 1604910290496 in words is "one trillion, six hundred four billion, nine hundred ten million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1031 1212 1616 2062 2424 3093 3232 4124 4848 6186 6464 8248 9696 12372 16496 19392 24744 32992 49488 65984 80273 98976 104131 160546 197952 208262 240819 312393 321092 416524 481638 624786 642184 833048 963276 1249572 1284368 1666096 1926552 2499144 2568736 3332192 3853104 4998288 5137472 6664384 7706208 8107573 9996576 15412416 16215146 19993152 24322719 32430292 48645438 64860584 82761463 97290876 129721168 165522926 194581752 248284389 259442336 331045852 389163504 496568778 518884672 662091704 778327008 993137556 1324183408 1556654016 1986275112 2648366816 3972550224 5296733632 7945100448 8358907763 15890200896 16717815526 25076723289 33435631052 50153446578 66871262104 100306893156 133742524208 200613786312 267485048416 401227572624 534970096832 802455145248 1604910290496