Search a number
-
+
2925406868202 = 2337132272622559
BaseRepresentation
bin101010100100011111110…
…101100101001011101010
3101100122222122010120021000
4222210133311211023222
5340412213124240302
610115525141455430
7421232211045450
oct52443765451352
911318878116230
102925406868202
11a28726a03815
123b2b68a11576
13182b319314b0
14a183a2909d0
155116ac9a31c
hex2a91fd652ea

2925406868202 has 128 divisors (see below), whose sum is σ = 8036363059200. Its totient is φ = 768136747968.

The previous prime is 2925406868183. The next prime is 2925406868239. The reversal of 2925406868202 is 2028686045292.

It is a happy number.

2925406868202 is a `hidden beast` number, since 2 + 9 + 25 + 406 + 8 + 6 + 8 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 195802 + ... + 2426757.

It is an arithmetic number, because the mean of its divisors is an integer number (62784086400).

Almost surely, 22925406868202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2925406868202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018181529600).

2925406868202 is an abundant number, since it is smaller than the sum of its proper divisors (5110956190998).

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

2925406868202 is a wasteful number, since it uses less digits than its factorization.

2925406868202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622817 (or 2622811 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2925406868202 in words is "two trillion, nine hundred twenty-five billion, four hundred six million, eight hundred sixty-eight thousand, two hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 227 234 273 351 378 454 546 681 702 819 1362 1589 1638 2043 2457 2951 3178 4086 4767 4914 5902 6129 8853 9534 12258 14301 17706 20657 26559 28602 41314 42903 53118 61971 79677 85806 123942 159354 185913 371826 557739 1115478 2622559 5245118 7867677 15735354 18357913 23603031 34093267 36715826 47206062 55073739 68186534 70809093 102279801 110147478 141618186 165221217 204559602 238652869 306839403 330442434 477305738 495663651 595320893 613678806 715958607 920518209 991327302 1190641786 1431917214 1785962679 1841036418 2147875821 3571925358 4167246251 4295751642 5357888037 6443627463 7739171609 8334492502 10715776074 12501738753 12887254926 15478343218 16073664111 23217514827 25003477506 32147328222 37505216259 46435029654 54174201263 69652544481 75010432518 108348402526 112515648777 139305088962 162522603789 208957633443 225031297554 325045207578 417915266886 487567811367 975135622734 1462703434101 2925406868202