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20021009976 = 23331171118681
BaseRepresentation
bin10010101001010110…
…000101111000111000
31220200022001200112000
4102221112011320320
5312000334304401
613110355421000
71306065530322
oct225126057070
956608050460
1020021009976
11854437a140
123a68bb4760
131b70b52986
14d7cdd4612
157c2a1b186
hex4a9585e38

20021009976 has 128 divisors (see below), whose sum is σ = 61524748800. Its totient is φ = 5981472000.

The previous prime is 20021009923. The next prime is 20021009999. The reversal of 20021009976 is 67990012002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20021009976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109356 + ... + 228036.

It is an arithmetic number, because the mean of its divisors is an integer number (480662100).

Almost surely, 220021009976 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 20021009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30762374400).

20021009976 is an abundant number, since it is smaller than the sum of its proper divisors (41503738824).

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

20021009976 is a wasteful number, since it uses less digits than its factorization.

20021009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118778 (or 118768 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 20021009976 in words is "twenty billion, twenty-one million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 88 99 108 132 142 198 213 216 264 284 297 396 426 568 594 639 781 792 852 1188 1278 1562 1704 1917 2343 2376 2556 3124 3834 4686 5112 6248 7029 7668 9372 14058 15336 18744 21087 28116 42174 56232 84348 118681 168696 237362 356043 474724 712086 949448 1068129 1305491 1424172 2136258 2610982 2848344 3204387 3916473 4272516 5221964 6408774 7832946 8426351 8545032 10443928 11749419 12817548 15665892 16852702 23498838 25279053 25635096 31331784 33705404 35248257 46997676 50558106 67410808 70496514 75837159 92689861 93995352 101116212 140993028 151674318 185379722 202232424 227511477 278069583 281986056 303348636 370759444 455022954 556139166 606697272 741518888 834208749 910045908 1112278332 1668417498 1820091816 2224556664 2502626247 3336834996 5005252494 6673669992 10010504988 20021009976