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1087984016730 = 23251319411193711
BaseRepresentation
bin11111101010100001110…
…01101001110101011010
310212000021110212120110100
433311100321221311122
5120311142402013410
62151451333200230
7141414154361232
oct17652071516532
93760243776410
101087984016730
1138a458682a06
12156a37790076
137b79a5386c0
143a9316c8cc2
151d47ab248c0
hexfd50e69d5a

1087984016730 has 192 divisors, whose sum is σ = 3284904430080. Its totient is φ = 247527705600.

The previous prime is 1087984016681. The next prime is 1087984016783. The reversal of 1087984016730 is 376104897801.

1087984016730 is a `hidden beast` number, since 1 + 0 + 87 + 98 + 401 + 6 + 73 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314575 + ... + 1508285.

It is an arithmetic number, because the mean of its divisors is an integer number (17108877240).

Almost surely, 21087984016730 is an apocalyptic number.

1087984016730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087984016730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642452215040).

1087984016730 is an abundant number, since it is smaller than the sum of its proper divisors (2196920413350).

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

1087984016730 is a wasteful number, since it uses less digits than its factorization.

1087984016730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193797 (or 1193794 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1087984016730 in words is "one trillion, eighty-seven billion, nine hundred eighty-four million, sixteen thousand, seven hundred thirty".