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4198145796 = 22321388310159
BaseRepresentation
bin1111101000111010…
…1001111100000100
3101211120112220101100
43322032221330010
532044211131141
61532324500100
7206014436055
oct37216517404
911746486340
104198145796
111864820089
12991b4a630
1351b9a9a50
142bb7b272c
151988650b6
hexfa3a9f04

4198145796 has 72 divisors (see below), whose sum is σ = 11442354560. Its totient is φ = 1290147264.

The previous prime is 4198145747. The next prime is 4198145807. The reversal of 4198145796 is 6975418914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408165 + ... + 418323.

Almost surely, 24198145796 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 4198145796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721177280).

4198145796 is an abundant number, since it is smaller than the sum of its proper divisors (7244208764).

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

4198145796 is a wasteful number, since it uses less digits than its factorization.

4198145796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11065 (or 11060 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 4198145796 is about 64793.0999104071. The cubic root of 4198145796 is about 1613.1911804530.

The spelling of 4198145796 in words is "four billion, one hundred ninety-eight million, one hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 883 1766 2649 3532 5298 7947 10159 10596 11479 15894 20318 22958 30477 31788 34437 40636 45916 60954 68874 91431 103311 121908 132067 137748 182862 206622 264134 365724 396201 413244 528268 792402 1188603 1584804 2377206 4754412 8970397 17940794 26911191 35881588 53822382 80733573 107644764 116615161 161467146 233230322 322934292 349845483 466460644 699690966 1049536449 1399381932 2099072898 4198145796