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20093784840 = 2332558795087
BaseRepresentation
bin10010101101101011…
…101101001100001000
31220212101000000212100
4102231223231030020
5312123002103330
613121515313400
71310641232043
oct225553551410
956771000770
1020093784840
118581465a58
123a8944b860
131b82c5351c
14d88939c5a
157c90e4060
hex4adaed308

20093784840 has 96 divisors (see below), whose sum is σ = 65416740480. Its totient is φ = 5349158016.

The previous prime is 20093784827. The next prime is 20093784847. The reversal of 20093784840 is 4848739002.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20093784847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163777 + ... + 258863.

It is an arithmetic number, because the mean of its divisors is an integer number (681424380).

Almost surely, 220093784840 is an apocalyptic number.

20093784840 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 20093784840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32708370240).

20093784840 is an abundant number, since it is smaller than the sum of its proper divisors (45322955640).

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

20093784840 is a wasteful number, since it uses less digits than its factorization.

20093784840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95691 (or 95684 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20093784840 in words is "twenty billion, ninety-three million, seven hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 587 1174 1761 2348 2935 3522 4696 5283 5870 7044 8805 10566 11740 14088 17610 21132 23480 26415 35220 42264 52830 70440 95087 105660 190174 211320 285261 380348 475435 570522 760696 855783 950870 1141044 1426305 1711566 1901740 2282088 2852610 3423132 3803480 4278915 5705220 6846264 8557830 11410440 17115660 34231320 55816069 111632138 167448207 223264276 279080345 334896414 446528552 502344621 558160690 669792828 837241035 1004689242 1116321380 1339585656 1674482070 2009378484 2232642760 2511723105 3348964140 4018756968 5023446210 6697928280 10046892420 20093784840