Search a number
-
+
126190822688 = 257289712
BaseRepresentation
bin111010110000110001…
…1110010010100100000
3110001201110021222200122
41311201203302110200
54031414322311223
6133545443135412
712055061203100
oct1654143622440
9401643258618
10126190822688
114957647a907
1220559074568
13bb90976168
146171629200
1534387335c8
hex1d618f2520

126190822688 has 54 divisors (see below), whose sum is σ = 289031736483. Its totient is φ = 54075752640.

The previous prime is 126190822649. The next prime is 126190822697. The reversal of 126190822688 is 886228091621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

126190822688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63095411344 + 63095411344 = 251188^2 + 251188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=251188.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14062043 + ... + 14071013.

Almost surely, 2126190822688 is an apocalyptic number.

It is an amenable number.

126190822688 is an abundant number, since it is smaller than the sum of its proper divisors (162840913795).

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

126190822688 is an frugal number, since it uses more digits than its factorization.

126190822688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17966 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 126190822688 in words is "one hundred twenty-six billion, one hundred ninety million, eight hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 8971 17942 35884 62797 71768 125594 143536 251188 287072 439579 502376 879158 1004752 1758316 2009504 3516632 7033264 14066528 80478841 160957682 321915364 563351887 643830728 1126703774 1287661456 2253407548 2575322912 3943463209 4506815096 7886926418 9013630192 15773852836 18027260384 31547705672 63095411344 126190822688