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20003332032 = 2632138125147
BaseRepresentation
bin10010101000010010…
…101001111111000000
31220122001210112221100
4102220102221333000
5311431323111112
613104524454400
71305462342165
oct225022517700
956561715840
1020003332032
1185353a5472
123a630aa400
131b6a2a3458
14d7a91206c
157c11c82dc
hex4a84a9fc0

20003332032 has 84 divisors (see below), whose sum is σ = 57379738936. Its totient is φ = 6662684160.

The previous prime is 20003331991. The next prime is 20003332073. The reversal of 20003332032 is 23023330002.

It is an interprime number because it is at equal distance from previous prime (20003331991) and next prime (20003332073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20003331996 and 20003332014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782883 + ... + 808029.

Almost surely, 220003332032 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 20003332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28689869468).

20003332032 is an abundant number, since it is smaller than the sum of its proper divisors (37376406904).

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

20003332032 is a wasteful number, since it uses less digits than its factorization.

20003332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26546 (or 26533 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20003332032 its reverse (23023330002), we get a palindrome (43026662034).

The spelling of 20003332032 in words is "twenty billion, three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1381 2762 4143 5524 8286 11048 12429 16572 22096 24858 25147 33144 44192 49716 50294 66288 75441 88384 99432 100588 132576 150882 198864 201176 226323 265152 301764 397728 402352 452646 603528 795456 804704 905292 1207056 1609408 1810584 2414112 3621168 4828224 7242336 14484672 34728007 69456014 104184021 138912028 208368042 277824056 312552063 416736084 555648112 625104126 833472168 1111296224 1250208252 1666944336 2222592448 2500416504 3333888672 5000833008 6667777344 10001666016 20003332032