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2086933464 = 233371131761
BaseRepresentation
bin111110001100100…
…0001001111011000
312101102221012112000
41330121001033120
513233223332324
6543030121000
7102500433060
oct17431011730
95342835460
102086933464
11981024000
124a2ab0160
13273494595
1415b2483a0
15c33359c9
hex7c6413d8

2086933464 has 512 divisors, whose sum is σ = 7842355200. Its totient is φ = 501811200.

The previous prime is 2086933391. The next prime is 2086933477. The reversal of 2086933464 is 4643396802.

2086933464 is a `hidden beast` number, since 20 + 86 + 93 + 3 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34211994 + ... + 34212054.

It is an arithmetic number, because the mean of its divisors is an integer number (15317100).

Almost surely, 22086933464 is an apocalyptic number.

2086933464 is a gapful number since it is divisible by the number (24) 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 2086933464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921177600).

2086933464 is an abundant number, since it is smaller than the sum of its proper divisors (5755421736).

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

2086933464 is a wasteful number, since it uses less digits than its factorization.

2086933464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2086933464 is about 45682.9668913918. The cubic root of 2086933464 is about 1277.9176477165.

The spelling of 2086933464 in words is "two billion, eighty-six million, nine hundred thirty-three thousand, four hundred sixty-four".