Search a number
-
+
1987731410112 = 26347158334603
BaseRepresentation
bin11100111011001110000…
…001100100110011000000
321001000200102022220120000
4130323032001210303000
5230031333220110422
64121052354320000
7263415560132310
oct34731601446300
97030612286500
101987731410112
116a6aa06196a8
1228129b289000
1311559987b826
146c2c7317440
1536a8ada4cac
hex1cece064cc0

1987731410112 has 280 divisors, whose sum is σ = 6738458512896. Its totient is φ = 567548093952.

The previous prime is 1987731410107. The next prime is 1987731410117. The reversal of 1987731410112 is 2110141377891.

1987731410112 is a `hidden beast` number, since 1 + 98 + 7 + 7 + 31 + 410 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (1987731410107) and next prime (1987731410117).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1987731410117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57426603 + ... + 57461205.

Almost surely, 21987731410112 is an apocalyptic number.

1987731410112 is a gapful number since it is divisible by the number (12) 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 1987731410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369229256448).

1987731410112 is an abundant number, since it is smaller than the sum of its proper divisors (4750727102784).

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

1987731410112 is a wasteful number, since it uses less digits than its factorization.

1987731410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36217 (or 36198 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 1987731410112 in words is "one trillion, nine hundred eighty-seven billion, seven hundred thirty-one million, four hundred ten thousand, one hundred twelve".