Search a number
-
+
5177401600407 = 32329733632813
BaseRepresentation
bin100101101010111010100…
…1011101110100110010111
3200022221210000112011111220
41023111311023232212113
51134311304302203112
615002244312301423
71043024560325211
oct113256513564627
920287700464456
105177401600407
1117167a6257663
126b74b93a1873
132b72c45a615a
1413c8324395b1
158ea21c6398c
hex4b5752ee997

5177401600407 has 24 divisors (see below), whose sum is σ = 7290786887664. Its totient is φ = 3267494951424.

The previous prime is 5177401600363. The next prime is 5177401600417. The reversal of 5177401600407 is 7040061047715.

5177401600407 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5177401600407 - 211 = 5177401598359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177401600417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16662468 + ... + 16970345.

It is an arithmetic number, because the mean of its divisors is an integer number (303782786986).

Almost surely, 25177401600407 is an apocalyptic number.

5177401600407 is a deficient number, since it is larger than the sum of its proper divisors (2113385287257).

5177401600407 is a wasteful number, since it uses less digits than its factorization.

5177401600407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632959 (or 33632936 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 5177401600407 in words is "five trillion, one hundred seventy-seven billion, four hundred one million, six hundred thousand, four hundred seven".

Divisors: 1 3 23 69 97 291 529 1587 2231 6693 51313 153939 33632813 100898439 773554699 2320664097 3262382861 9787148583 17791758077 53375274231 75034805803 225104417409 1725800533469 5177401600407