Search a number
-
+
84122857000 = 23537213413221
BaseRepresentation
bin100111001011000011…
…1001110111000101000
322001010122222220120101
41032112013032320220
52334240422411000
6102351232435144
76035433325600
oct1162607167050
9261118886511
1084122857000
1132749183616
12143786a8ab4
137c18340980
14410054dc00
1522c5410e6a
hex13961cee28

84122857000 has 384 divisors, whose sum is σ = 252693211680. Its totient is φ = 25966080000.

The previous prime is 84122856949. The next prime is 84122857003. The reversal of 84122857000 is 75822148.

It can be written as a sum of positive squares in 16 ways, for example, as 22738830436 + 61384026564 = 150794^2 + 247758^2 .

It is not an unprimeable number, because it can be changed into a prime (84122857003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26115390 + ... + 26118610.

Almost surely, 284122857000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84122857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126346605840).

84122857000 is an abundant number, since it is smaller than the sum of its proper divisors (168570354680).

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

84122857000 is a wasteful number, since it uses less digits than its factorization.

84122857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 84122857000 in words is "eighty-four billion, one hundred twenty-two million, eight hundred fifty-seven thousand".