Search a number
-
+
84975756294 = 2311132193710837
BaseRepresentation
bin100111100100011110…
…0110010010000000110
322010100002212200110010
41033020330302100012
52343012243200134
6103012021211050
76065531003502
oct1171074622006
9263302780403
1084975756294
1133046665470
1214576260a86
138022c55800
144181929302
152325236ce9
hex13c8f32406

84975756294 has 192 divisors, whose sum is σ = 217058261760. Its totient is φ = 21907791360.

The previous prime is 84975756247. The next prime is 84975756367. The reversal of 84975756294 is 49265757948.

It is a happy number.

It is a super-2 number, since 2×849757562942 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7835844 + ... + 7846680.

It is an arithmetic number, because the mean of its divisors is an integer number (1130511780).

Almost surely, 284975756294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84975756294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108529130880).

84975756294 is an abundant number, since it is smaller than the sum of its proper divisors (132082505466).

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

84975756294 is a wasteful number, since it uses less digits than its factorization.

84975756294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10922 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 66.

The spelling of 84975756294 in words is "eighty-four billion, nine hundred seventy-five million, seven hundred fifty-six thousand, two hundred ninety-four".