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2989760785704 = 233671121735603
BaseRepresentation
bin101011100000011011101…
…000010010110100101000
3101120211002120101022000000
4223200123220102310220
5342441012230120304
610205251021343000
7426001026241260
oct53403350226450
911524076338000
102989760785704
11a52a50025500
12403528a07a60
13188c19408414
14a49c30a47a0
1552b85882939
hex2b81ba12d28

2989760785704 has 672 divisors, whose sum is σ = 11179550612160. Its totient is φ = 730860641280.

The previous prime is 2989760785691. The next prime is 2989760785747. The reversal of 2989760785704 is 4075870679892.

2989760785704 is a `hidden beast` number, since 2 + 9 + 8 + 9 + 7 + 607 + 8 + 5 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 83957167 + ... + 83992769.

It is an arithmetic number, because the mean of its divisors is an integer number (16636236030).

Almost surely, 22989760785704 is an apocalyptic number.

2989760785704 is a gapful number since it is divisible by the number (24) 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 2989760785704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589775306080).

2989760785704 is an abundant number, since it is smaller than the sum of its proper divisors (8189789826456).

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

2989760785704 is a wasteful number, since it uses less digits than its factorization.

2989760785704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35673 (or 35643 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 2989760785704 in words is "two trillion, nine hundred eighty-nine billion, seven hundred sixty million, seven hundred eighty-five thousand, seven hundred four".