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21349887456 = 253850126161
BaseRepresentation
bin10011111000100011…
…010110110111100000
32001002220120122201110
4103320203112313200
5322211032344311
613450310103320
71354033022562
oct237043266740
961086518643
1021349887456
119066500497
12417a04ab40
13202325ba01
1410676b1332
1584e5128a6
hex4f88d6de0

21349887456 has 48 divisors (see below), whose sum is σ = 56052189648. Its totient is φ = 7115520000.

The previous prime is 21349887451. The next prime is 21349887463. The reversal of 21349887456 is 65478894312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 21349887396 and 21349887405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21349887451) 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, 803016 + ... + 829176.

It is an arithmetic number, because the mean of its divisors is an integer number (1167753951).

Almost surely, 221349887456 is an apocalyptic number.

It is an amenable number.

21349887456 is an abundant number, since it is smaller than the sum of its proper divisors (34702302192).

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

21349887456 is a wasteful number, since it uses less digits than its factorization.

21349887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34675 (or 34667 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 21349887456 in words is "twenty-one billion, three hundred forty-nine million, eight hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8501 17002 25503 26161 34004 51006 52322 68008 78483 102012 104644 136016 156966 204024 209288 272032 313932 408048 418576 627864 816096 837152 1255728 2511456 222394661 444789322 667183983 889578644 1334367966 1779157288 2668735932 3558314576 5337471864 7116629152 10674943728 21349887456