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20950010592 = 2537151206461
BaseRepresentation
bin10011100000101101…
…111100101011100000
32000002001010210210020
4103200231330223200
5320401200314332
613342503233440
71341106103040
oct234055745340
960061123706
1020950010592
11898080a045
124088148880
131c8b461494
14102a53d720
1582937582c
hex4e0b7cae0

20950010592 has 96 divisors (see below), whose sum is σ = 63266563584. Its totient is φ = 5946048000.

The previous prime is 20950010563. The next prime is 20950010593. The reversal of 20950010592 is 29501005902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20950010593) 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 15 ways as a sum of consecutive naturals, for example, 1759 + ... + 204702.

It is an arithmetic number, because the mean of its divisors is an integer number (659026704).

Almost surely, 220950010592 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 20950010592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633281792).

20950010592 is an abundant number, since it is smaller than the sum of its proper divisors (42316552992).

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

20950010592 is a wasteful number, since it uses less digits than its factorization.

20950010592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206632 (or 206624 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 20950010592 in words is "twenty billion, nine hundred fifty million, ten thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4832 6342 7248 8456 12684 14496 16912 25368 33824 50736 101472 206461 412922 619383 825844 1238766 1445227 1651688 2477532 2890454 3303376 4335681 4955064 5780908 6606752 8671362 9910128 11561816 17342724 19820256 23123632 31175611 34685448 46247264 62351222 69370896 93526833 124702444 138741792 187053666 218229277 249404888 374107332 436458554 498809776 654687831 748214664 872917108 997619552 1309375662 1496429328 1745834216 2618751324 2992858656 3491668432 5237502648 6983336864 10475005296 20950010592