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2199354991680 = 26357111712713781
BaseRepresentation
bin100000000000010011110…
…001011110010001000000
321210020220211102201101110
4200000103301132101000
5242013234334213210
64402211510203320
7314620031655240
oct40002361362100
97706824381343
102199354991680
11778817612760
122b62bb653540
1312c524059602
147864102db20
153c3249e3420
hex20013c5e440

2199354991680 has 896 divisors, whose sum is σ = 9291394842624. Its totient is φ = 426708172800.

The previous prime is 2199354991661. The next prime is 2199354991681. The reversal of 2199354991680 is 861994539912.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2199354991681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159586390 + ... + 159600170.

Almost surely, 22199354991680 is an apocalyptic number.

2199354991680 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 2199354991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645697421312).

2199354991680 is an abundant number, since it is smaller than the sum of its proper divisors (7092039850944).

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

2199354991680 is a wasteful number, since it uses less digits than its factorization.

2199354991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13953 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 66.

The spelling of 2199354991680 in words is "two trillion, one hundred ninety-nine billion, three hundred fifty-four million, nine hundred ninety-one thousand, six hundred eighty".