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987042600960 = 21135137333857
BaseRepresentation
bin11100101110100000101…
…00101101100000000000
310111100201200210100112220
432113100110231200000
5112132430401212320
62033235140251040
7131211556451313
oct16272024554000
93440650710486
10987042600960
113506698a8249
1213b3666a0a80
1372101991510
1435ab760a97a
151aa1de2be40
hexe5d052d800

987042600960 has 384 divisors, whose sum is σ = 3447356552640. Its totient is φ = 239628976128.

The previous prime is 987042600923. The next prime is 987042600983. The reversal of 987042600960 is 69006240789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9870426009602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29136352 + ... + 29170208.

Almost surely, 2987042600960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987042600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723678276320).

987042600960 is an abundant number, since it is smaller than the sum of its proper divisors (2460313951680).

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

987042600960 is a wasteful number, since it uses less digits than its factorization.

987042600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973 (or 33953 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 987042600960 in words is "nine hundred eighty-seven billion, forty-two million, six hundred thousand, nine hundred sixty".