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189463693536 = 253213219241263
BaseRepresentation
bin1011000001110011101…
…0101000100011100000
3200010001001100212012200
42300130322220203200
511101010201143121
6223012144253200
716455041552235
oct2603472504340
9603031325180
10189463693536
1173395352207
1230877011200
1314b354a7300
149254a3578c
154ddd47aa26
hex2c1cea88e0

189463693536 has 648 divisors, whose sum is σ = 633159583056. Its totient is φ = 53676380160.

The previous prime is 189463693439. The next prime is 189463693541. The reversal of 189463693536 is 635396364981.

189463693536 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 6 + 3 + 6 + 93 + 536 = 666.

Its product of digits (75582720) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 720394141 + ... + 720394403.

It is an arithmetic number, because the mean of its divisors is an integer number (977098122).

Almost surely, 2189463693536 is an apocalyptic number.

189463693536 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 189463693536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316579791528).

189463693536 is an abundant number, since it is smaller than the sum of its proper divisors (443695889520).

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

189463693536 is a wasteful number, since it uses less digits than its factorization.

189463693536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 341 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 189463693536 in words is "one hundred eighty-nine billion, four hundred sixty-three million, six hundred ninety-three thousand, five hundred thirty-six".