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16321742140 = 22511194099547
BaseRepresentation
bin11110011001101101…
…00000010100111100
31120010111020102001011
433030312200110330
5231411331222030
611255331325004
71115316343024
oct171466402474
946114212034
1016321742140
116a1621a4a0
1231b6150764
1317016273b2
14b0b9a4a84
15657d9bb2a
hex3ccda053c

16321742140 has 96 divisors (see below), whose sum is σ = 39459974400. Its totient is φ = 5608465920.

The previous prime is 16321742131. The next prime is 16321742207. The reversal of 16321742140 is 4124712361.

16321742140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1704847 + ... + 1714393.

It is an arithmetic number, because the mean of its divisors is an integer number (411041400).

Almost surely, 216321742140 is an apocalyptic number.

16321742140 is a gapful number since it is divisible by the number (10) 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 16321742140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729987200).

16321742140 is an abundant number, since it is smaller than the sum of its proper divisors (23138232260).

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

16321742140 is a wasteful number, since it uses less digits than its factorization.

16321742140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 16321742140 in words is "sixteen billion, three hundred twenty-one million, seven hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 409 418 818 836 1045 1636 2045 2090 4090 4180 4499 7771 8180 8998 9547 15542 17996 19094 22495 31084 38188 38855 44990 47735 77710 85481 89980 95470 105017 155420 170962 181393 190940 210034 341924 362786 420068 427405 525085 725572 854810 906965 1050170 1709620 1813930 1995323 2100340 3627860 3904723 3990646 7809446 7981292 9976615 15618892 19523615 19953230 39047230 39906460 42951953 74189737 78094460 85903906 148379474 171807812 214759765 296758948 370948685 429519530 741897370 816087107 859039060 1483794740 1632174214 3264348428 4080435535 8160871070 16321742140