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21407786596 = 227414932
BaseRepresentation
bin10011111100000000…
…001110011001100100
32001020221112020102001
4103330000032121210
5322320343132341
613500135055044
71355335120000
oct237400163144
961227466361
1021407786596
119096156a19
124195511484
132032251661
141071263700
1585464cd31
hex4fc00e664

21407786596 has 45 divisors (see below), whose sum is σ = 43734256601. Its totient is φ = 9168620496.

The previous prime is 21407786593. The next prime is 21407786611. The reversal of 21407786596 is 69568770412.

The square root of 21407786596 is 146314.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18689624100 + 2718162496 = 136710^2 + 52136^2 .

It is not an unprimeable number, because it can be changed into a prime (21407786593) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14338026 + ... + 14339518.

Almost surely, 221407786596 is an apocalyptic number.

21407786596 is the 146314-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21407786596

21407786596 is an abundant number, since it is smaller than the sum of its proper divisors (22326470005).

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

21407786596 is an frugal number, since it uses more digits than its factorization.

21407786596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 21407786596 in words is "twenty-one billion, four hundred seven million, seven hundred eighty-six thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1493 2401 2986 4802 5972 9604 10451 20902 41804 73157 146314 292628 512099 1024198 2048396 2229049 3584693 4458098 7169386 8916196 14338772 15603343 31206686 62413372 109223401 218446802 436893604 764563807 1529127614 3058255228 5351946649 10703893298 21407786596