Search a number
-
+
5406875606301 = 3131775110859077
BaseRepresentation
bin100111010101110001011…
…1001100101110100011101
3201010220002110100111010020
41032223202321211310131
51202041240123400201
615255515004502353
71065430263231441
oct116534271456435
921126073314106
105406875606301
1117a5052360714
12733a7b84a9b9
13302b350037b0
141499a0b64821
15959a2a61a36
hex4eae2e65d1d

5406875606301 has 32 divisors (see below), whose sum is σ = 8231354869248. Its totient is φ = 3127413888000.

The previous prime is 5406875606227. The next prime is 5406875606357. The reversal of 5406875606301 is 1036065786045.

It is not a de Polignac number, because 5406875606301 - 27 = 5406875606173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406875606101) 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, 4931626 + ... + 5927451.

It is an arithmetic number, because the mean of its divisors is an integer number (257229839664).

Almost surely, 25406875606301 is an apocalyptic number.

5406875606301 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5406875606301 is a deficient number, since it is larger than the sum of its proper divisors (2824479262947).

5406875606301 is a wasteful number, since it uses less digits than its factorization.

5406875606301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859861.

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 5406875606301 in words is "five trillion, four hundred six billion, eight hundred seventy-five million, six hundred six thousand, three hundred one".

Divisors: 1 3 13 17 39 51 221 663 751 2253 9763 12767 29289 38301 165971 497913 10859077 32577231 141168001 184604309 423504003 553812927 2399856017 7199568051 8155166827 24465500481 106017168751 138637836059 318051506253 415913508177 1802291868767 5406875606301