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2991022848000 = 2113653113147
BaseRepresentation
bin101011100001100110110…
…110101011100000000000
3101120221100112011201000000
4223201212312223200000
5343001103322114000
610210020144000000
7426044222503215
oct53414666534000
911527315151000
102991022848000
11a535384705a0
1240381b600000
1318908aa1c445
14a4aa294bb0c
1552c0b57c000
hex2b866dab800

2991022848000 has 2688 divisors, whose sum is σ = 12869780152320. Its totient is φ = 686776320000.

The previous prime is 2991022847993. The next prime is 2991022848001. The reversal of 2991022848000 is 8482201992.

It is a happy number.

2991022848000 is a `hidden beast` number, since 299 + 1 + 0 + 2 + 284 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×29910228480002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991022848001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 63638783977 + ... + 63638784023.

It is an arithmetic number, because the mean of its divisors is an integer number (4787864640).

Almost surely, 22991022848000 is an apocalyptic number.

2991022848000 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 2991022848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434890076160).

2991022848000 is an abundant number, since it is smaller than the sum of its proper divisors (9878757304320).

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

2991022848000 is an equidigital number, since it uses as much as digits as its factorization.

2991022848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2991022848000 in words is "two trillion, nine hundred ninety-one billion, twenty-two million, eight hundred forty-eight thousand".