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20003034656 = 251132711733
BaseRepresentation
bin10010101000010001…
…100001011000100000
31220122001020110000102
4102220101201120200
5311431234102111
613104514241532
71305456663203
oct225021413040
956561213012
1020003034656
118535212000
123a62b862a8
131b6a1caca7
14d7a87593a
157c116a13b
hex4a8461620

20003034656 has 96 divisors (see below), whose sum is σ = 43501038336. Its totient is φ = 9053510400.

The previous prime is 20003034647. The next prime is 20003034707. The reversal of 20003034656 is 65643030002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11541566 + ... + 11543298.

It is an arithmetic number, because the mean of its divisors is an integer number (453135816).

Almost surely, 220003034656 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 20003034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750519168).

20003034656 is an abundant number, since it is smaller than the sum of its proper divisors (23498003680).

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

20003034656 is a wasteful number, since it uses less digits than its factorization.

20003034656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 20003034656 its reverse (65643030002), we get a palindrome (85646064658).

The spelling of 20003034656 in words is "twenty billion, three million, thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 271 352 484 542 968 1084 1331 1733 1936 2168 2662 2981 3466 3872 4336 5324 5962 6932 8672 10648 11924 13864 19063 21296 23848 27728 32791 38126 42592 47696 55456 65582 76252 95392 131164 152504 209693 262328 305008 360701 419386 469643 524656 610016 721402 838772 939286 1049312 1442804 1677544 1878572 2306623 2885608 3355088 3757144 4613246 5166073 5771216 6710176 7514288 9226492 10332146 11542432 15028576 18452984 20664292 36905968 41328584 56826803 73811936 82657168 113653606 165314336 227307212 454614424 625094833 909228848 1250189666 1818457696 2500379332 5000758664 10001517328 20003034656