Search a number
-
+
204380914716 = 2233111710119871
BaseRepresentation
bin1011111001011000001…
…1010100010000011100
3201112112122202012201000
42332112003110100130
511322033003232331
6233520304150300
720523515053056
oct2762603242034
9645478665630
10204380914716
117974a775280
123373a908390
1316371b2c1c4
149c6bc6c8d6
1554b2d8d0e6
hex2f960d441c

204380914716 has 96 divisors (see below), whose sum is σ = 612049858560. Its totient is φ = 58290451200.

The previous prime is 204380914711. The next prime is 204380914741. The reversal of 204380914716 is 617419083402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204380914711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5039740 + ... + 5080131.

It is an arithmetic number, because the mean of its divisors is an integer number (6375519360).

Almost surely, 2204380914716 is an apocalyptic number.

It is an amenable number.

204380914716 is an abundant number, since it is smaller than the sum of its proper divisors (407668943844).

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

204380914716 is a wasteful number, since it uses less digits than its factorization.

204380914716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119912 (or 10119904 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 204380914716 in words is "two hundred four billion, three hundred eighty million, nine hundred fourteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 10119871 20239742 30359613 40479484 60719226 91078839 111318581 121438452 172037807 182157678 222637162 273236517 333955743 344075614 364315356 445274324 516113421 546473034 667911486 688151228 1001867229 1032226842 1092946068 1335822972 1548340263 1892415877 2003734458 2064453684 3005601687 3096680526 3784831754 4007468916 4645020789 5677247631 6011203374 6193361052 7569663508 9290041578 11354495262 12022406748 17031742893 18580083156 22708990524 34063485786 51095228679 68126971572 102190457358 204380914716