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2890774918080 = 2632571937203971
BaseRepresentation
bin101010000100001111100…
…111001011001111000000
3101020100121002000012211200
4222010033213023033000
5334330301334334310
610052000442541200
7415565045244030
oct52041747131700
911210532005750
102890774918080
11a14a75096035
123a8302807800
1317c7a2a4360a
149dcb29cd8c0
15502e06bb9c0
hex2a10f9cb3c0

2890774918080 has 672 divisors, whose sum is σ = 12284923522560. Its totient is φ = 609051156480.

The previous prime is 2890774918067. The next prime is 2890774918091. The reversal of 2890774918080 is 808194770982.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2890774917999 and 2890774918017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14070495 + ... + 14274465.

Almost surely, 22890774918080 is an apocalyptic number.

2890774918080 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 2890774918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142461761280).

2890774918080 is an abundant number, since it is smaller than the sum of its proper divisors (9394148604480).

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

2890774918080 is a wasteful number, since it uses less digits than its factorization.

2890774918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204057 (or 204044 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 2890774918080 in words is "two trillion, eight hundred ninety billion, seven hundred seventy-four million, nine hundred eighteen thousand, eighty".