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20428772002488 = 23324133312077549
BaseRepresentation
bin1001010010100011100011…
…01100101100101010111000
32200022222020020122001010100
410221101301230230222320
510134201111113034423
6111240503122115400
74205634004635033
oct451216154545270
980288206561110
1020428772002488
116566880244793
12235b2964abb60
13b5256a76c305
14508a8772c01a
152565ec68c343
hex129471b2cab8

20428772002488 has 96 divisors (see below), whose sum is σ = 56694428154000. Its totient is φ = 6641505446400.

The previous prime is 20428772002477. The next prime is 20428772002537. The reversal of 20428772002488 is 88420027782402.

It is a happy number.

20428772002488 is a `hidden beast` number, since 2 + 0 + 428 + 7 + 7 + 200 + 2 + 4 + 8 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8794338 + ... + 10871886.

Almost surely, 220428772002488 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 20428772002488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28347214077000).

20428772002488 is an abundant number, since it is smaller than the sum of its proper divisors (36265656151512).

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

20428772002488 is a wasteful number, since it uses less digits than its factorization.

20428772002488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080933 (or 2080926 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 20428772002488 in words is "twenty trillion, four hundred twenty-eight billion, seven hundred seventy-two million, two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3331 6662 9993 13324 19986 26648 29979 39972 59958 79944 119916 136571 239832 273142 409713 546284 819426 1092568 1229139 1638852 2077549 2458278 3277704 4155098 4916556 6232647 8310196 9833112 12465294 16620392 18697941 24930588 37395882 49861176 74791764 85179509 149583528 170359018 255538527 340718036 511077054 681436072 766615581 1022154108 1533231162 2044308216 3066462324 6132924648 6920315719 13840631438 20760947157 27681262876 41521894314 55362525752 62282841471 83043788628 124565682942 166087577256 249131365884 283732944479 498262731768 567465888958 851198833437 1134931777916 1702397666874 2269863555832 2553596500311 3404795333748 5107193000622 6809590667496 10214386001244 20428772002488