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196712453142144 = 2734414389120919
BaseRepresentation
bin101100101110100010101111…
…111001000111011010000000
3221210111112020002012220220000
4230232202233321013122000
5201240414101001022034
61534212241534520000
756302001653145652
oct5456425771073200
9853445202186800
10196712453142144
1157751312574395
121a090236666000
13859bb9b921b54
143680d0d8826d2
1517b1e205bb599
hexb2e8afe47680

196712453142144 has 640 divisors, whose sum is σ = 620537691312000. Its totient is φ = 61781243166720.

The previous prime is 196712453142131. The next prime is 196712453142151. The reversal of 196712453142144 is 441241354217691.

196712453142144 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 1 + 2 + 453 + 1 + 42 + 144 = 666.

196712453142144 is digitally balanced in base 2, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1626751317 + ... + 1626872235.

It is an arithmetic number, because the mean of its divisors is an integer number (969590142675).

Almost surely, 2196712453142144 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 196712453142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310268845656000).

196712453142144 is an abundant number, since it is smaller than the sum of its proper divisors (423825238169856).

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

196712453142144 is a wasteful number, since it uses less digits than its factorization.

196712453142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121118 (or 121097 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 196712453142144 in words is "one hundred ninety-six trillion, seven hundred twelve billion, four hundred fifty-three million, one hundred forty-two thousand, one hundred forty-four".