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20727256256 = 2671719143239
BaseRepresentation
bin10011010011011100…
…001101010011000000
31222111111222201021122
4103103130031103000
5314422134200011
613304425011412
71332432525350
oct232334152300
958444881248
1020727256256
118876aa5453
124025623b68
131c5426b195
141008b16b60
15814a243db
hex4d370d4c0

20727256256 has 112 divisors (see below), whose sum is σ = 52391462400. Its totient is φ = 7920488448.

The previous prime is 20727256243. The next prime is 20727256261. The reversal of 20727256256 is 65265272702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×207272562562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73085 + ... + 216323.

Almost surely, 220727256256 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 20727256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26195731200).

20727256256 is an abundant number, since it is smaller than the sum of its proper divisors (31664206144).

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

20727256256 is a wasteful number, since it uses less digits than its factorization.

20727256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143294 (or 143284 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 20727256256 in words is "twenty billion, seven hundred twenty-seven million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3808 4256 4522 5168 7616 8512 9044 10336 18088 20672 36176 72352 143239 144704 286478 572956 1002673 1145912 2005346 2291824 2435063 2721541 4010692 4583648 4870126 5443082 8021384 9167296 9740252 10886164 16042768 17045441 19050787 19480504 21772328 32085536 34090882 38101574 38961008 43544656 46266197 64171072 68181764 76203148 77922016 87089312 92532394 136363528 152406296 155844032 174178624 185064788 272727056 304812592 323863379 370129576 545454112 609625184 647726758 740259152 1090908224 1219250368 1295453516 1480518304 2590907032 2961036608 5181814064 10363628128 20727256256