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2117498640 = 24358822911
BaseRepresentation
bin111111000110110…
…0111011100010000
312110120110002001120
41332031213130100
513314034424030
6550041202240
7103321304265
oct17615473420
95416402046
102117498640
11997300084
124b1190380
1327990689a
1416132326c
15c5d72010
hex7e367710

2117498640 has 40 divisors (see below), whose sum is σ = 6564246528. Its totient is φ = 564666240.

The previous prime is 2117498639. The next prime is 2117498671. The reversal of 2117498640 is 468947112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2117498592 and 2117498601.

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, 4411216 + ... + 4411695.

Almost surely, 22117498640 is an apocalyptic number.

2117498640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117498640 is an abundant number, since it is smaller than the sum of its proper divisors (4446747888).

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

2117498640 is a wasteful number, since it uses less digits than its factorization.

2117498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822927 (or 8822921 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2117498640 is about 46016.2866819999. The cubic root of 2117498640 is about 1284.1262188981.

The spelling of 2117498640 in words is "two billion, one hundred seventeen million, four hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8822911 17645822 26468733 35291644 44114555 52937466 70583288 88229110 105874932 132343665 141166576 176458220 211749864 264687330 352916440 423499728 529374660 705832880 1058749320 2117498640