Search a number
-
+
204158631768 = 233713531763759
BaseRepresentation
bin1011111000100011001…
…1010111111101011000
3201111222011111001211020
42332020303113331120
511321104102204033
6233442244002440
720515145510610
oct2761063277530
9644864431736
10204158631768
1179646252863
1233698390420
1316337a72630
149c4a529a40
15549d5d16b3
hex2f88cd7f58

204158631768 has 128 divisors (see below), whose sum is σ = 640033228800. Its totient is φ = 52828079616.

The previous prime is 204158631763. The next prime is 204158631791. The reversal of 204158631768 is 867136851402.

It is a self number, because there is not a number n which added to its sum of digits gives 204158631768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204158631763) 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, 766128 + ... + 997631.

It is an arithmetic number, because the mean of its divisors is an integer number (5000259600).

Almost surely, 2204158631768 is an apocalyptic number.

204158631768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

204158631768 is an abundant number, since it is smaller than the sum of its proper divisors (435874597032).

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

204158631768 is a wasteful number, since it uses less digits than its factorization.

204158631768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763841 (or 1763837 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 204158631768 in words is "two hundred four billion, one hundred fifty-eight million, six hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 53 56 78 84 91 104 106 156 159 168 182 212 273 312 318 364 371 424 546 636 689 728 742 1092 1113 1272 1378 1484 2067 2184 2226 2756 2968 4134 4452 4823 5512 8268 8904 9646 14469 16536 19292 28938 38584 57876 115752 1763759 3527518 5291277 7055036 10582554 12346313 14110072 21165108 22928867 24692626 37038939 42330216 45857734 49385252 68786601 74077878 91715468 93479227 98770504 137573202 148155756 160502069 183430936 186958454 275146404 280437681 296311512 321004138 373916908 481506207 550292808 560875362 642008276 654354589 747833816 963012414 1121750724 1215229951 1284016552 1308709178 1926024828 1963063767 2243501448 2430459902 2617418356 3645689853 3852049656 3926127534 4860919804 5234836712 7291379706 7852255068 8506609657 9721839608 14582759412 15704510136 17013219314 25519828971 29165518824 34026438628 51039657942 68052877256 102079315884 204158631768