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1996940856960 = 27335722341261
BaseRepresentation
bin11101000011110010111…
…100110100111010000000
321001220110020112021122000
4131003302330310322000
5230204213324410320
64125214300544000
7264163025134500
oct35036274647200
97056406467560
101996940856960
116aa9970653a5
1228302b552000
13116406842c6a
146c91c48da00
1536e29654c90
hex1d0f2f34e80

1996940856960 has 2304 divisors, whose sum is σ = 8943643641600. Its totient is φ = 418966732800.

The previous prime is 1996940856931. The next prime is 1996940856997. The reversal of 1996940856960 is 696580496991.

1996940856960 is a `hidden beast` number, since 19 + 9 + 6 + 9 + 40 + 8 + 569 + 6 + 0 = 666.

It is a super-2 number, since 2×19969408569602 (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 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, 32736735330 + ... + 32736735390.

It is an arithmetic number, because the mean of its divisors is an integer number (3881789775).

Almost surely, 21996940856960 is an apocalyptic number.

1996940856960 is a gapful number since it is divisible by the number (10) 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 1996940856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471821820800).

1996940856960 is an abundant number, since it is smaller than the sum of its proper divisors (6946702784640).

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

1996940856960 is a wasteful number, since it uses less digits than its factorization.

1996940856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 1996940856960 in words is "one trillion, nine hundred ninety-six billion, nine hundred forty million, eight hundred fifty-six thousand, nine hundred sixty".