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2663693061120 = 21035572133361
BaseRepresentation
bin100110110000110000011…
…110101000110000000000
3100102122110100102122200000
4212300300132220300000
5322120220410423440
65355403402400000
7363305540304600
oct46606036506000
910378410378600
102663693061120
11937736321973
123702a9500000
13164253ab3210
1492ccdc7cc00
154944e8e3730
hex26c307a8c00

2663693061120 has 1584 divisors, whose sum is σ = 11994194223648. Its totient is φ = 561842749440.

The previous prime is 2663693061109. The next prime is 2663693061149. The reversal of 2663693061120 is 211603963662.

2663693061120 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 6 + 9 + 3 + 0 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 792528240 + ... + 792531600.

Almost surely, 22663693061120 is an apocalyptic number.

2663693061120 is a gapful number since it is divisible by the number (20) 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 2663693061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997097111824).

2663693061120 is an abundant number, since it is smaller than the sum of its proper divisors (9330501162528).

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

2663693061120 is a wasteful number, since it uses less digits than its factorization.

2663693061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2663693061120 in words is "two trillion, six hundred sixty-three billion, six hundred ninety-three million, sixty-one thousand, one hundred twenty".