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21445277472 = 253438921269
BaseRepresentation
bin10011111110001111…
…001111011100100000
32001100120001222020000
4103332033033130200
5322404442334342
613503554420000
71356301564563
oct237617173440
961316058200
1021445277472
119105333413
1241a5b91600
132039c4a0c8
1410762224da
15857aa644c
hex4fe3cf720

21445277472 has 120 divisors (see below), whose sum is σ = 63235071900. Its totient is φ = 7129714176.

The previous prime is 21445277459. The next prime is 21445277473. The reversal of 21445277472 is 27477254412.

21445277472 is a `hidden beast` number, since 21 + 44 + 52 + 77 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21247143696 + 198133776 = 145764^2 + 14076^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21445277473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 997654 + ... + 1018922.

Almost surely, 221445277472 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 21445277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31617535950).

21445277472 is an abundant number, since it is smaller than the sum of its proper divisors (41789794428).

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

21445277472 is a wasteful number, since it uses less digits than its factorization.

21445277472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21680 (or 21663 counting only the distinct ones).

The product of its digits is 878080, while the sum is 45.

The spelling of 21445277472 in words is "twenty-one billion, four hundred forty-five million, two hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 389 432 648 778 864 1167 1296 1556 2334 2592 3112 3501 4668 6224 7002 9336 10503 12448 14004 18672 21006 21269 28008 31509 37344 42012 42538 56016 63018 63807 84024 85076 112032 126036 127614 168048 170152 191421 252072 255228 336096 340304 382842 504144 510456 574263 680608 765684 1008288 1020912 1148526 1531368 1722789 2041824 2297052 3062736 3445578 4594104 6125472 6891156 8273641 9188208 13782312 16547282 18376416 24820923 27564624 33094564 49641846 55129248 66189128 74462769 99283692 132378256 148925538 198567384 223388307 264756512 297851076 397134768 446776614 595702152 670164921 794269536 893553228 1191404304 1340329842 1787106456 2382808608 2680659684 3574212912 5361319368 7148425824 10722638736 21445277472