Search a number
-
+
196647587136 = 2633721113109149
BaseRepresentation
bin1011011100100100011…
…1000000110101000000
3200210120201010110121000
42313021013000311000
511210213240242021
6230201052132000
720131052624400
oct2671107006500
9623521113530
10196647587136
1176441488860
1232140a67000
131570b918420
149736b80800
1551adebbb26
hex2dc91c0d40

196647587136 has 1344 divisors, whose sum is σ = 802660320000. Its totient is φ = 46402191360.

The previous prime is 196647587111. The next prime is 196647587173. The reversal of 196647587136 is 631785746691.

196647587136 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 47 + 587 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (45722880) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1319782390 + ... + 1319782538.

It is an arithmetic number, because the mean of its divisors is an integer number (597217500).

Almost surely, 2196647587136 is an apocalyptic number.

196647587136 is a gapful number since it is divisible by the number (16) 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 196647587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401330160000).

196647587136 is an abundant number, since it is smaller than the sum of its proper divisors (606012732864).

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

196647587136 is a wasteful number, since it uses less digits than its factorization.

196647587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 196647587136 in words is "one hundred ninety-six billion, six hundred forty-seven million, five hundred eighty-seven thousand, one hundred thirty-six".