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20444204256 = 253739677669
BaseRepresentation
bin10011000010100100…
…011100110011100000
31221202210101011221020
4103002210130303200
5313332204014011
613220354125440
71322424604020
oct230244346340
957683334836
1020444204256
118741247283
123b66880880
131c0a7255a8
14dbd2b5a80
157e9c62006
hex4c291cce0

20444204256 has 96 divisors (see below), whose sum is σ = 61356072960. Its totient is φ = 5838967296.

The previous prime is 20444204251. The next prime is 20444204293. The reversal of 20444204256 is 65240244402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×204442042562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444204251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661990 + ... + 2669658.

It is an arithmetic number, because the mean of its divisors is an integer number (639125760).

Almost surely, 220444204256 is an apocalyptic number.

It is an amenable number.

20444204256 is an abundant number, since it is smaller than the sum of its proper divisors (40911868704).

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

20444204256 is a wasteful number, since it uses less digits than its factorization.

20444204256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 20444204256 its reverse (65240244402), we get a palindrome (85684448658).

The spelling of 20444204256 in words is "twenty billion, four hundred forty-four million, two hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3967 7669 7934 11901 15338 15868 23007 23802 27769 30676 31736 46014 47604 53683 55538 61352 63472 83307 92028 95208 107366 111076 122704 126944 161049 166614 184056 190416 214732 222152 245408 322098 333228 368112 380832 429464 444304 644196 666456 736224 858928 888608 1288392 1332912 1717856 2576784 2665824 5153568 30422923 60845846 91268769 121691692 182537538 212960461 243383384 365075076 425920922 486766768 638881383 730150152 851841844 973533536 1277762766 1460300304 1703683688 2555525532 2920600608 3407367376 5111051064 6814734752 10222102128 20444204256