Search a number
-
+
78901001101 = 1324145724917
BaseRepresentation
bin100100101111011011…
…1011011101110001101
321112122202011010221001
41021132313123232031
52243042124013401
6100125134140301
75462145305116
oct1113667335615
9245582133831
1078901001101
1130509615a2a
121335b951691
137595544a00
143b66c1b20d
1520bbc84601
hex125eddbb8d

78901001101 has 24 divisors (see below), whose sum is σ = 87716044584. Its totient is φ = 70896983040.

The previous prime is 78901001087. The next prime is 78901001117. The reversal of 78901001101 is 10110010987.

It can be written as a sum of positive squares in 12 ways, for example, as 37752878601 + 41148122500 = 194301^2 + 202850^2 .

It is not a de Polignac number, because 78901001101 - 233 = 70311066509 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78901001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78901001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3154095 + ... + 3179011.

It is an arithmetic number, because the mean of its divisors is an integer number (3654835191).

Almost surely, 278901001101 is an apocalyptic number.

It is an amenable number.

78901001101 is a deficient number, since it is larger than the sum of its proper divisors (8815043483).

78901001101 is a wasteful number, since it uses less digits than its factorization.

78901001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25441 (or 25428 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 28.

The spelling of 78901001101 in words is "seventy-eight billion, nine hundred one million, one thousand, one hundred one".

Divisors: 1 13 41 169 457 533 5941 6929 18737 24917 77233 243581 323921 1021597 3166553 4210973 11387069 13280761 148031897 172649893 466869829 1924414661 6069307777 78901001101