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2093006664 = 23327311091229
BaseRepresentation
bin111110011000000…
…1011111101001000
312101212100202101100
41330300023331020
513241302203124
6543404221400
7102603156150
oct17460137510
95355322340
102093006664
119844a1981
124a4b3a860
1327480c9a8
1415bd89760
15c3b351c9
hex7cc0bf48

2093006664 has 192 divisors, whose sum is σ = 6754176000. Its totient is φ = 572935680.

The previous prime is 2093006653. The next prime is 2093006683. The reversal of 2093006664 is 4666003902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1702402 + ... + 1703630.

It is an arithmetic number, because the mean of its divisors is an integer number (35178000).

Almost surely, 22093006664 is an apocalyptic number.

2093006664 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 2093006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377088000).

2093006664 is an abundant number, since it is smaller than the sum of its proper divisors (4661169336).

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

2093006664 is a wasteful number, since it uses less digits than its factorization.

2093006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2093006664 is about 45749.3897664220. The cubic root of 2093006664 is about 1279.1560729377.

The spelling of 2093006664 in words is "two billion, ninety-three million, six thousand, six hundred sixty-four".