Search a number
-
+
198738113004 = 22336539532957
BaseRepresentation
bin1011100100010110110…
…1101111000111101100
3200222222101211011222000
42321011231233013230
511224003424104004
6231144331252300
720233626042114
oct2710555570754
9628871734860
10198738113004
1177314535892
1232624baa090
1315982a69b92
149894682044
1552827b1c39
hex2e45b6f1ec

198738113004 has 96 divisors (see below), whose sum is σ = 516752187840. Its totient is φ = 66052836864.

The previous prime is 198738113003. The next prime is 198738113017. The reversal of 198738113004 is 400311837891.

It is not an unprimeable number, because it can be changed into a prime (198738113003) 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, 67207894 + ... + 67210850.

It is an arithmetic number, because the mean of its divisors is an integer number (5382835290).

Almost surely, 2198738113004 is an apocalyptic number.

It is an amenable number.

198738113004 is an abundant number, since it is smaller than the sum of its proper divisors (318014074836).

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

198738113004 is a wasteful number, since it uses less digits than its factorization.

198738113004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 198738113004 in words is "one hundred ninety-eight billion, seven hundred thirty-eight million, one hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 653 953 1306 1906 1959 2612 2859 2957 3812 3918 5718 5877 5914 7836 8577 8871 11436 11754 11828 17154 17631 17742 23508 25731 26613 34308 35262 35484 51462 53226 70524 79839 102924 106452 159678 319356 622309 1244618 1866927 1930921 2489236 2818021 3733854 3861842 5600781 5636042 5792763 7467708 7723684 8454063 11201562 11272084 11585526 16802343 16908126 17378289 22403124 23171052 25362189 33604686 33816252 34756578 50724378 52134867 67209372 69513156 76086567 101448756 104269734 152173134 208539468 304346268 1840167713 3680335426 5520503139 7360670852 11041006278 16561509417 22082012556 33123018834 49684528251 66246037668 99369056502 198738113004