Search a number
-
+
379561001000051 = 134312714273746641
BaseRepresentation
bin101011001001101010110111…
…0101000101001110001110011
31211202220200021202201202220202
41112103111232220221301303
5344222211412224000201
63423131530000425415
7142643243303643203
oct12623255650516163
91752820252652822
10379561001000051
11aaa37a09a253a2
12366a156b31826b
13133a35ab073870
1469a2bc9988403
152dd33bcbe4c6b
hex159356ea29c73

379561001000051 has 32 divisors (see below), whose sum is σ = 421852946178048. Its totient is φ = 339283369474560.

The previous prime is 379561001000047. The next prime is 379561001000081. The reversal of 379561001000051 is 150000100165973.

It is a cyclic number.

It is not a de Polignac number, because 379561001000051 - 22 = 379561001000047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 379561000999969 and 379561001000014.

It is not an unprimeable number, because it can be changed into a prime (379561001000081) 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, 99433691 + ... + 103180331.

It is an arithmetic number, because the mean of its divisors is an integer number (13182904568064).

Almost surely, 2379561001000051 is an apocalyptic number.

379561001000051 is a deficient number, since it is larger than the sum of its proper divisors (42291945177997).

379561001000051 is a wasteful number, since it uses less digits than its factorization.

379561001000051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748251.

The product of its (nonzero) digits is 28350, while the sum is 38.

The spelling of 379561001000051 in words is "three hundred seventy-nine trillion, five hundred sixty-one billion, one million, fifty-one", and thus it is an aban number.

Divisors: 1 13 43 127 559 1427 1651 5461 18551 61361 70993 181229 797693 2355977 3746641 7792847 48706333 101307011 161105563 475823407 2094372319 5346456707 6185704291 20460406501 69503937191 229897638401 265985284513 679000001789 2988669299213 8827000023257 29197000076927 379561001000051