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20144290928 = 24231273371279
BaseRepresentation
bin10010110000101100…
…010111110001110000
31220222220001000012012
4102300230113301300
5312223414302203
613130522022052
71312123435106
oct226054276160
956886030165
1020144290928
1185a7a21a23
123aa2347928
131b90558098
14d91525c76
157cd76dbd8
hex4b0b17c70

20144290928 has 80 divisors (see below), whose sum is σ = 41201172480. Its totient is φ = 9522551808.

The previous prime is 20144290927. The next prime is 20144290931. The reversal of 20144290928 is 82909244102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144290927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15749393 + ... + 15750671.

It is an arithmetic number, because the mean of its divisors is an integer number (515014656).

Almost surely, 220144290928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144290928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600586240).

20144290928 is an abundant number, since it is smaller than the sum of its proper divisors (21056881552).

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

20144290928 is a wasteful number, since it uses less digits than its factorization.

20144290928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 20144290928 in words is "twenty billion, one hundred forty-four million, two hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 127 184 254 337 368 508 674 1016 1279 1348 2032 2558 2696 2921 5116 5392 5842 7751 10232 11684 15502 20464 23368 29417 31004 42799 46736 58834 62008 85598 117668 124016 162433 171196 235336 324866 342392 431023 470672 649732 684784 862046 984377 1299464 1724092 1968754 2598928 3448184 3735959 3937508 6896368 7471918 7875016 9913529 14943836 15750032 19827058 29887672 39654116 54739921 59775344 79308232 109479842 158616464 218959684 437919368 875838736 1259018183 2518036366 5036072732 10072145464 20144290928