Search a number
-
+
1995492096576 = 26361167131443
BaseRepresentation
bin11101000010011100100…
…110001111101001000000
321001202201021102122000000
4131002130212033221000
5230143231434042301
64124414425000000
7264112103646336
oct35023446175100
97052637378000
101995492096576
116aa3132a2270
122828a6323000
131162356513b4
146c821cc7b56
1536d9237c786
hex1d09c98fa40

1995492096576 has 784 divisors, whose sum is σ = 6638515031808. Its totient is φ = 589787827200.

The previous prime is 1995492096571. The next prime is 1995492096589. The reversal of 1995492096576 is 6756902945991.

1995492096576 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 49 + 2 + 0 + 9 + 6 + 576 = 666.

It is a super-2 number, since 2×19954920965762 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1995492096571) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4504496611 + ... + 4504497053.

Almost surely, 21995492096576 is an apocalyptic number.

1995492096576 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 1995492096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319257515904).

1995492096576 is an abundant number, since it is smaller than the sum of its proper divisors (4643022935232).

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

1995492096576 is a wasteful number, since it uses less digits than its factorization.

1995492096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 1995492096576 in words is "one trillion, nine hundred ninety-five billion, four hundred ninety-two million, ninety-six thousand, five hundred seventy-six".