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2093532480 = 263551319109
BaseRepresentation
bin111110011001000…
…1100010101000000
312101220100110200000
41330302030111000
513241421014410
6543423400000
7102610506144
oct17462142500
95356313600
102093532480
11984820a36
124a5153000
13274965120
1415c085224
15c3bdadc0
hex7cc8c540

2093532480 has 672 divisors, whose sum is σ = 8542934400. Its totient is φ = 483729408.

The previous prime is 2093532457. The next prime is 2093532481. The reversal of 2093532480 is 842353902.

2093532480 is a `hidden beast` number, since 209 + 353 + 24 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093532481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206666 + ... + 19206774.

It is an arithmetic number, because the mean of its divisors is an integer number (12712700).

Almost surely, 22093532480 is an apocalyptic number.

2093532480 is a gapful number since it is divisible by the number (20) 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 2093532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271467200).

2093532480 is an abundant number, since it is smaller than the sum of its proper divisors (6449401920).

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

2093532480 is a wasteful number, since it uses less digits than its factorization.

2093532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2093532480 is about 45755.1361051412. The cubic root of 2093532480 is about 1279.2631827118.

The spelling of 2093532480 in words is "two billion, ninety-three million, five hundred thirty-two thousand, four hundred eighty".