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20339137314 = 2331723963301
BaseRepresentation
bin10010111100010011…
…101001101100100010
31221111110200020012000
4102330103221230202
5313123304343224
613202122144430
71320010546266
oct227423515442
957443606160
1020339137314
118697a049a1
123b37652116
131bc1a296c2
14dad3660a6
157e090b0c9
hex4bc4e9b22

20339137314 has 64 divisors (see below), whose sum is σ = 49937575680. Its totient is φ = 6103468800.

The previous prime is 20339137307. The next prime is 20339137321. The reversal of 20339137314 is 41373193302.

It is a happy number.

20339137314 is a `hidden beast` number, since 2 + 0 + 339 + 1 + 3 + 7 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (20339137307) and next prime (20339137321).

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 31 ways as a sum of consecutive naturals, for example, 460537 + ... + 502764.

It is an arithmetic number, because the mean of its divisors is an integer number (780274620).

Almost surely, 220339137314 is an apocalyptic number.

20339137314 is an abundant number, since it is smaller than the sum of its proper divisors (29598438366).

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

20339137314 is a wasteful number, since it uses less digits than its factorization.

20339137314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963352 (or 963346 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 20339137314 in words is "twenty billion, three hundred thirty-nine million, one hundred thirty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 7038 10557 21114 963301 1926602 2889903 5779806 8669709 16376117 17339418 22155923 26009127 32752234 44311846 49128351 52018254 66467769 98256702 132935538 147385053 199403307 294770106 376650691 398806614 442155159 598209921 753301382 884310318 1129952073 1196419842 2259904146 3389856219 6779712438 10169568657 20339137314