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1798920160928 = 251122411927789
BaseRepresentation
bin11010001011010111111…
…111110100011010100000
320100222022211122122201222
4122023113333310122200
5213433142030122203
63454225034114212
7243652630034132
oct32132777643240
96328284578658
101798920160928
11633a10595600
1225078687b968
13100839602c87
14630d51db052
1531bd9d56038
hex1a2d7ff46a0

1798920160928 has 72 divisors (see below), whose sum is σ = 3909014483220. Its totient is φ = 814297651200.

The previous prime is 1798920160871. The next prime is 1798920160997. The reversal of 1798920160928 is 8290610298971.

It can be written as a sum of positive squares in 2 ways, for example, as 1700030037904 + 98890123024 = 1303852^2 + 314468^2 .

It is a super-2 number, since 2×17989201609282 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30743 + ... + 1897046.

Almost surely, 21798920160928 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 1798920160928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954507241610).

1798920160928 is an abundant number, since it is smaller than the sum of its proper divisors (2110094322292).

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

1798920160928 is a wasteful number, since it uses less digits than its factorization.

1798920160928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928062 (or 1928043 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 62.

The spelling of 1798920160928 in words is "one trillion, seven hundred ninety-eight billion, nine hundred twenty million, one hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 241 242 352 482 484 964 968 1928 1936 2651 3856 3872 5302 7712 10604 21208 29161 42416 58322 84832 116644 233288 466576 933152 1927789 3855578 7711156 15422312 21205679 30844624 42411358 61689248 84822716 169645432 233262469 339290864 464597149 466524938 678581728 929194298 933049876 1858388596 1866099752 3716777192 3732199504 5110568639 7433554384 7464399008 10221137278 14867108768 20442274556 40884549112 56216255029 81769098224 112432510058 163538196448 224865020116 449730040232 899460080464 1798920160928