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20856725748 = 22334118612531
BaseRepresentation
bin10011011011001010…
…000110000011110100
31222211112121110001000
4103123022012003310
5320203310210443
613325332003300
71335564146415
oct233312060364
958745543030
1020856725748
118933094831
124060a60530
131c7502c351
14101bdb980c
1582109a8d3
hex4db2860f4

20856725748 has 96 divisors (see below), whose sum is σ = 55443507840. Its totient is φ = 6776352000.

The previous prime is 20856725741. The next prime is 20856725753. The reversal of 20856725748 is 84752765802.

20856725748 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 67 + 2 + 574 + 8 = 666.

It is a super-3 number, since 3×208567257483 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20856725694 and 20856725703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20856725741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8239243 + ... + 8241773.

It is an arithmetic number, because the mean of its divisors is an integer number (577536540).

Almost surely, 220856725748 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 20856725748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721753920).

20856725748 is an abundant number, since it is smaller than the sum of its proper divisors (34586782092).

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

20856725748 is a wasteful number, since it uses less digits than its factorization.

20856725748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 20856725748 in words is "twenty billion, eight hundred fifty-six million, seven hundred twenty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1861 2214 2531 3722 4428 5062 5583 7444 7593 10124 11166 15186 16749 22332 22779 30372 33498 45558 50247 66996 68337 76301 91116 100494 103771 136674 152602 200988 207542 228903 273348 305204 311313 415084 457806 622626 686709 915612 933939 1245252 1373418 1867878 2060127 2746836 2801817 3735756 4120254 4710191 5603634 8240508 9420382 11207268 14130573 18840764 28261146 42391719 56522292 84783438 127175157 169566876 193117831 254350314 386235662 508700628 579353493 772471324 1158706986 1738060479 2317413972 3476120958 5214181437 6952241916 10428362874 20856725748