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1991494657152 = 27387111323103
BaseRepresentation
bin11100111110101110010…
…101001110010010000000
321001101101200112200000000
4130332232111032102000
5230112040113012102
64122514030000000
7263611044166110
oct34765625162200
97041350480000
101991494657152
116a86518a7920
12281b6b646000
13115a49418320
146c56303d040
1536c0b46101c
hex1cfae54e480

1991494657152 has 2304 divisors, whose sum is σ = 8418277969920. Its totient is φ = 452286996480.

The previous prime is 1991494657127. The next prime is 1991494657169. The reversal of 1991494657152 is 2517564941991.

1991494657152 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 4 + 9 + 4 + 6 + 571 + 52 = 666.

It is a super-2 number, since 2×19914946571522 (a number of 25 digits) contains 22 as substring.

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

Its product of digits (24494400) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 1991494657152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19334899533 + ... + 19334899635.

It is an arithmetic number, because the mean of its divisors is an integer number (3653766480).

Almost surely, 21991494657152 is an apocalyptic number.

1991494657152 is a gapful number since it is divisible by the number (12) 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 1991494657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209138984960).

1991494657152 is an abundant number, since it is smaller than the sum of its proper divisors (6426783312768).

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

1991494657152 is a wasteful number, since it uses less digits than its factorization.

1991494657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 1991494657152 in words is "one trillion, nine hundred ninety-one billion, four hundred ninety-four million, six hundred fifty-seven thousand, one hundred fifty-two".