Search a number
-
+
271050513163664 = 241323831368139971
BaseRepresentation
bin111101101000010011011101…
…100011011010010110010000
31022112201011202022002211200112
4331220103131203122112100
5241011342422332214124
62400250515311540452
7111043516252453403
oct7550233543322620
91275634668084615
10271050513163664
1179401971454913
12264974a452a728
13b831c52414a70
144ad0cb4443d3a
1521509a4c5990e
hexf684dd8da590

271050513163664 has 80 divisors (see below), whose sum is σ = 565850163105024. Its totient is φ = 125035471411200.

The previous prime is 271050513163649. The next prime is 271050513163667. The reversal of 271050513163664 is 466361315050172.

271050513163664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (271050513163667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6781159199 + ... + 6781199169.

Almost surely, 2271050513163664 is an apocalyptic number.

It is an amenable number.

271050513163664 is an abundant number, since it is smaller than the sum of its proper divisors (294799649941360).

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

271050513163664 is a wasteful number, since it uses less digits than its factorization.

271050513163664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56056 (or 56050 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 271050513163664 in words is "two hundred seventy-one trillion, fifty billion, five hundred thirteen million, one hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 2383 4766 9532 13681 19064 27362 30979 38128 39971 54724 61958 79942 109448 123916 159884 177853 218896 247832 319768 355706 495664 519623 639536 711412 1039246 1422824 2078492 2845648 4156984 8313968 32601823 65203646 95250893 130407292 190501786 260814584 381003572 423823699 521629168 546843251 762007144 847647398 1093686502 1238261609 1524014288 1695294796 2187373004 2476523218 3390589592 4374746008 4953046436 6781179184 7108962263 8749492016 9906092872 14217924526 19812185744 28435849052 56871698104 113743396208 1303127467133 2606254934266 5212509868532 10425019737064 16940657072729 20850039474128 33881314145458 67762628290916 135525256581832 271050513163664