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20852492256 = 253447171169
BaseRepresentation
bin10011011010111001…
…111100011111100000
31222211020122100210000
4103122321330133200
5320201214223011
613325101140000
71335513155031
oct233271743740
958736570700
1020852492256
118930763082
12405b55a600
131c741a941b
14101b5d6a88
15820a11356
hex4dae7c7e0

20852492256 has 120 divisors (see below), whose sum is σ = 62631787680. Its totient is φ = 6802900992.

The previous prime is 20852492249. The next prime is 20852492257. The reversal of 20852492256 is 65229425802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20852492257) 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, 36240 + ... + 207408.

It is an arithmetic number, because the mean of its divisors is an integer number (521931564).

Almost surely, 220852492256 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 20852492256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31315893840).

20852492256 is an abundant number, since it is smaller than the sum of its proper divisors (41779295424).

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

20852492256 is a wasteful number, since it uses less digits than its factorization.

20852492256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171238 (or 171221 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20852492256 in words is "twenty billion, eight hundred fifty-two million, four hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 13536 15228 20304 30456 40608 60912 121824 171169 342338 513507 684676 1027014 1369352 1540521 2054028 2738704 3081042 4108056 4621563 5477408 6162084 8044943 8216112 9243126 12324168 13864689 16089886 16432224 18486252 24134829 24648336 27729378 32179772 36972504 48269658 49296672 55458756 64359544 72404487 73945008 96539316 110917512 128719088 144808974 147890016 193078632 217213461 221835024 257438176 289617948 386157264 434426922 443670048 579235896 651640383 772314528 868853844 1158471792 1303280766 1737707688 2316943584 2606561532 3475415376 5213123064 6950830752 10426246128 20852492256