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22057126128 = 2432377095839
BaseRepresentation
bin10100100010101101…
…010000100011110000
32002221012101002210100
4110202231100203300
5330133111014003
614044412432400
71410411323112
oct244255204360
962835332710
1022057126128
119399744364
124336a78700
132106933b2b
1410d35b13b2
15891664ba3
hex522b508f0

22057126128 has 120 divisors (see below), whose sum is σ = 63497969600. Its totient is φ = 7142349312.

The previous prime is 22057126111. The next prime is 22057126139. The reversal of 22057126128 is 82162175022.

It is a happy number.

22057126128 is a `hidden beast` number, since 2 + 2 + 0 + 571 + 2 + 61 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22057126092 and 22057126101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3774633 + ... + 3780471.

Almost surely, 222057126128 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 22057126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31748984800).

22057126128 is an abundant number, since it is smaller than the sum of its proper divisors (41440843472).

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

22057126128 is a wasteful number, since it uses less digits than its factorization.

22057126128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6599 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22057126128 in words is "twenty-two billion, fifty-seven million, one hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 709 888 1332 1418 1776 2127 2664 2836 4254 5328 5672 5839 6381 8508 11344 11678 12762 17016 17517 23356 25524 26233 34032 35034 46712 51048 52466 52551 70068 78699 93424 102096 104932 105102 140136 157398 209864 210204 216043 236097 280272 314796 419728 420408 432086 472194 629592 648129 840816 864172 944388 1259184 1296258 1728344 1888776 1944387 2592516 3456688 3777552 3888774 4139851 5185032 7777548 8279702 10370064 12419553 15555096 16559404 24839106 31110192 33118808 37258659 49678212 66237616 74517318 99356424 149034636 153174487 198712848 298069272 306348974 459523461 596138544 612697948 919046922 1225395896 1378570383 1838093844 2450791792 2757140766 3676187688 5514281532 7352375376 11028563064 22057126128