Search a number
-
+
196867532064 = 25372192115931
BaseRepresentation
bin1011011101011000111…
…0000010010100100000
3200211011000222211022110
42313112032002110200
511211141042011224
6230234550235320
720136363261300
oct2672616022440
9624130884273
10196867532064
1176544653725
12321a2655b40
1315745366a58
149758075600
1551c3465929
hex2dd6382520

196867532064 has 216 divisors, whose sum is σ = 634459201488. Its totient is φ = 53286992640.

The previous prime is 196867532053. The next prime is 196867532087. The reversal of 196867532064 is 460235768691.

196867532064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 196867531995 and 196867532013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1640179 + ... + 1756109.

It is an arithmetic number, because the mean of its divisors is an integer number (2937311118).

It is a 2-persistent number, because it is pandigital, and so is 2⋅196867532064 = 393735064128, but 3⋅196867532064 = 590602596192 is not.

Almost surely, 2196867532064 is an apocalyptic number.

196867532064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196867532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317229600744).

196867532064 is an abundant number, since it is smaller than the sum of its proper divisors (437591669424).

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

196867532064 is a wasteful number, since it uses less digits than its factorization.

196867532064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115996 (or 115962 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 196867532064 in words is "one hundred ninety-six billion, eight hundred sixty-seven million, five hundred thirty-two thousand, sixty-four".