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20440202992 = 2411473676733
BaseRepresentation
bin10011000010010101…
…001011111011110000
31221202111211220020021
4103002111023323300
5313330142443432
613220132253224
71322345600356
oct230225137360
957674756207
1020440202992
118739a64050
123b65471214
131c09954291
14dbc9537d6
157e9721697
hex4c254bef0

20440202992 has 80 divisors (see below), whose sum is σ = 44249167872. Its totient is φ = 9067196160.

The previous prime is 20440202963. The next prime is 20440202999. The reversal of 20440202992 is 29920204402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440202999) 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, 3032458 + ... + 3039190.

Almost surely, 220440202992 is an apocalyptic number.

20440202992 is a gapful number since it is divisible by the number (22) 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 20440202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124583936).

20440202992 is an abundant number, since it is smaller than the sum of its proper divisors (23808964880).

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

20440202992 is a wasteful number, since it uses less digits than its factorization.

20440202992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 20440202992 in words is "twenty billion, four hundred forty million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 367 376 517 734 752 1034 1468 2068 2936 4037 4136 5872 6733 8074 8272 13466 16148 17249 26932 32296 34498 53864 64592 68996 74063 107728 137992 148126 189739 275984 296252 316451 379478 592504 632902 758956 1185008 1265804 1517912 2471011 2531608 3035824 3480961 4942022 5063216 6961922 9884044 13923844 19768088 27181121 27847688 39536176 54362242 55695376 108724484 116137517 217448968 232275034 434897936 464550068 929100136 1277512687 1858200272 2555025374 5110050748 10220101496 20440202992