Search a number
-
+
5317627104 = 25336154661
BaseRepresentation
bin1001111001111010…
…01000110011100000
3111201121001110001000
410330331020303200
541342303031404
62235355112000
7245530041006
oct47475106340
914647043030
105317627104
112289730a49
121044a42600
136698bba1a
14386342a76
15211c98339
hex13cf48ce0

5317627104 has 48 divisors (see below), whose sum is σ = 15509748240. Its totient is φ = 1772542080.

The previous prime is 5317627099. The next prime is 5317627153. The reversal of 5317627104 is 4017267135.

It is a happy number.

5317627104 is a `hidden beast` number, since 5 + 3 + 17 + 627 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3076467 + ... + 3078194.

It is an arithmetic number, because the mean of its divisors is an integer number (323119755).

Almost surely, 25317627104 is an apocalyptic number.

5317627104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5317627104 is an abundant number, since it is smaller than the sum of its proper divisors (10192121136).

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

5317627104 is a wasteful number, since it uses less digits than its factorization.

5317627104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154680 (or 6154666 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5317627104 is about 72922.0618468787. The cubic root of 5317627104 is about 1745.4441612308. Note that the first 3 decimals are identical.

The spelling of 5317627104 in words is "five billion, three hundred seventeen million, six hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6154661 12309322 18463983 24618644 36927966 49237288 55391949 73855932 98474576 110783898 147711864 166175847 196949152 221567796 295423728 332351694 443135592 590847456 664703388 886271184 1329406776 1772542368 2658813552 5317627104