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986088961 = 1113171937577
BaseRepresentation
bin111010110001101…
…000011000000001
32112201111111202101
4322301220120001
54004414321321
6241503150401
733302421634
oct7261503001
92481444671
10986088961
11466692260
122362a5401
131293a93c0
1494d69c1b
155b884791
hex3ac68601

986088961 has 64 divisors (see below), whose sum is σ = 1328382720. Its totient is φ = 716636160.

The previous prime is 986088953. The next prime is 986088977. The reversal of 986088961 is 169880689.

It is a 4-Lehmer number, since φ(986088961) divides (986088961-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 986088961 - 23 = 986088953 is a prime.

It is a deceptive number, since it divides R986088960.

It is not an unprimeable number, because it can be changed into a prime (986088911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1708705 + ... + 1709281.

It is an arithmetic number, because the mean of its divisors is an integer number (20755980).

It is a Poulet number, since it divides 2986088960-1.

Almost surely, 2986088961 is an apocalyptic number.

It is an amenable number.

986088961 is a deficient number, since it is larger than the sum of its proper divisors (342293759).

986088961 is a wasteful number, since it uses less digits than its factorization.

986088961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 1492992, while the sum is 55.

The square root of 986088961 is about 31402.0534519639. The cubic root of 986088961 is about 995.3413173792.

The spelling of 986088961 in words is "nine hundred eighty-six million, eighty-eight thousand, nine hundred sixty-one".