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2093684736 = 211311132383
BaseRepresentation
bin111110011001011…
…0001100000000000
312101220122012112010
41330302301200000
513241440402421
6543430532520
7102612012063
oct17462614000
95356565463
102093684736
11984915370
124a5207140
132749b9510
1415c0c48da
15c3c1b076
hex7ccb1800

2093684736 has 192 divisors, whose sum is σ = 6560386560. Its totient is φ = 585400320.

The previous prime is 2093684731. The next prime is 2093684737. The reversal of 2093684736 is 6374863902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093684731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877401 + ... + 879783.

It is an arithmetic number, because the mean of its divisors is an integer number (34168680).

Almost surely, 22093684736 is an apocalyptic number.

2093684736 is a gapful number since it is divisible by the number (26) 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 2093684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280193280).

2093684736 is an abundant number, since it is smaller than the sum of its proper divisors (4466701824).

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

2093684736 is a wasteful number, since it uses less digits than its factorization.

2093684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 2093684736 is about 45756.7998881041. The cubic root of 2093684736 is about 1279.2941942160.

The spelling of 2093684736 in words is "two billion, ninety-three million, six hundred eighty-four thousand, seven hundred thirty-six".