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196500066048 = 2833113133153
BaseRepresentation
bin1011011100000001010…
…0010000111100000000
3200210012102112121201000
42313000110100330000
511204413004103143
6230134302212000
720124312000636
oct2670024207400
9623172477630
10196500066048
117637618a000
12320bb584000
13156b71a6940
14972133d356
1551a107bbd3
hex2dc0510f00

196500066048 has 1152 divisors, whose sum is σ = 723925278720. Its totient is φ = 52188364800.

The previous prime is 196500066023. The next prime is 196500066053. The reversal of 196500066048 is 840660005691.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1965000660482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 196500065994 and 196500066012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3707548390 + ... + 3707548442.

It is an arithmetic number, because the mean of its divisors is an integer number (628407360).

Almost surely, 2196500066048 is an apocalyptic number.

196500066048 is a gapful number since it is divisible by the number (18) 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 196500066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361962639360).

196500066048 is an abundant number, since it is smaller than the sum of its proper divisors (527425212672).

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

196500066048 is a wasteful number, since it uses less digits than its factorization.

196500066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 196500066048 in words is "one hundred ninety-six billion, five hundred million, sixty-six thousand, forty-eight".