Search a number
-
+
86746822128 = 2433200802829
BaseRepresentation
bin101000011001010000…
…0110111010111110000
322021220112110011001000
41100302200313113300
52410124141302003
6103503445242000
76160444551651
oct1206240672760
9267815404030
1086746822128
113387535743a
121498b403300
138245b54a65
1442acc2d528
1523ca9771a3
hex14328375f0

86746822128 has 40 divisors (see below), whose sum is σ = 248995509200. Its totient is φ = 28915607232.

The previous prime is 86746822079. The next prime is 86746822133. The reversal of 86746822128 is 82122864768.

It is a super-2 number, since 2×867468221282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100400983 + ... + 100401846.

It is an arithmetic number, because the mean of its divisors is an integer number (6224887730).

Almost surely, 286746822128 is an apocalyptic number.

It is an amenable number.

86746822128 is an abundant number, since it is smaller than the sum of its proper divisors (162248687072).

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

86746822128 is a wasteful number, since it uses less digits than its factorization.

86746822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200802846 (or 200802834 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 86746822128 in words is "eighty-six billion, seven hundred forty-six million, eight hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 200802829 401605658 602408487 803211316 1204816974 1606422632 1807225461 2409633948 3212845264 3614450922 4819267896 5421676383 7228901844 9638535792 10843352766 14457803688 21686705532 28915607376 43373411064 86746822128