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1889086245696 = 263513294359127
BaseRepresentation
bin11011011111010110010…
…100001000101101000000
320200121001200001100100000
4123133112110020231000
5221422322034330241
64003500110200000
7253324214101626
oct33372624105500
96617050040300
101889086245696
1166917aa34631
1226614b1b3000
131091a8966460
146760a1ad516
1534215a8ceb6
hex1b7d6508b40

1889086245696 has 1344 divisors, whose sum is σ = 6560973619200. Its totient is φ = 534628491264.

The previous prime is 1889086245677. The next prime is 1889086245727. The reversal of 1889086245696 is 6965426809881.

1889086245696 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 0 + 86 + 2 + 456 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14874694785 + ... + 14874694911.

It is an arithmetic number, because the mean of its divisors is an integer number (4881676800).

Almost surely, 21889086245696 is an apocalyptic number.

1889086245696 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 1889086245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280486809600).

1889086245696 is an abundant number, since it is smaller than the sum of its proper divisors (4671887373504).

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

1889086245696 is a wasteful number, since it uses less digits than its factorization.

1889086245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 1889086245696 in words is "one trillion, eight hundred eighty-nine billion, eighty-six million, two hundred forty-five thousand, six hundred ninety-six".