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21713498752 = 271128354493
BaseRepresentation
bin10100001110001110…
…011011001010000000
32002001020210000122111
4110032032123022000
5323432123430002
613550335345104
71366036460041
oct241616331200
962036700574
1021713498752
119232781aa0
12425b982194
13208069c41a
14109dac28c8
158713d93d7
hex50e39b280

21713498752 has 64 divisors (see below), whose sum is σ = 47357465760. Its totient is φ = 9834716160.

The previous prime is 21713498731. The next prime is 21713498759. The reversal of 21713498752 is 25789431712.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21713498696 and 21713498705.

It is not an unprimeable number, because it can be changed into a prime (21713498759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371218 + ... + 425710.

Almost surely, 221713498752 is an apocalyptic number.

21713498752 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 21713498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678732880).

21713498752 is an abundant number, since it is smaller than the sum of its proper divisors (25643967008).

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

21713498752 is a wasteful number, since it uses less digits than its factorization.

21713498752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54801 (or 54789 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The spelling of 21713498752 in words is "twenty-one billion, seven hundred thirteen million, four hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 283 352 566 704 1132 1408 2264 3113 4528 6226 9056 12452 18112 24904 36224 49808 54493 99616 108986 199232 217972 398464 435944 599423 871888 1198846 1743776 2397692 3487552 4795384 6975104 9590768 15421519 19181536 30843038 38363072 61686076 76726144 123372152 169636709 246744304 339273418 493488608 678546836 986977216 1357093672 1973954432 2714187344 5428374688 10856749376 21713498752