Search a number
-
+
11280127992 = 2337129152009
BaseRepresentation
bin10101000000101100…
…10001011111111000
31002010010112212121020
422200112101133320
5141100203043432
65103152142440
7546350335350
oct124026213770
932103485536
1011280127992
11486937a131
122229837a20
1310a9c88363
1479018db60
1546047522c
hex2a05917f8

11280127992 has 64 divisors (see below), whose sum is σ = 32254521600. Its totient is φ = 3220335360.

The previous prime is 11280127967. The next prime is 11280128003. The reversal of 11280127992 is 29972108211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 190884 + ... + 242892.

It is an arithmetic number, because the mean of its divisors is an integer number (503976900).

Almost surely, 211280127992 is an apocalyptic number.

11280127992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11280127992 is an abundant number, since it is smaller than the sum of its proper divisors (20974393608).

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

11280127992 is a wasteful number, since it uses less digits than its factorization.

11280127992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53316 (or 53312 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11280127992 in words is "eleven billion, two hundred eighty million, one hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1291 2582 3873 5164 7746 9037 10328 15492 18074 27111 30984 36148 52009 54222 72296 104018 108444 156027 208036 216888 312054 364063 416072 624108 728126 1092189 1248216 1456252 2184378 2912504 4368756 8737512 67143619 134287238 201430857 268574476 402861714 470005333 537148952 805723428 940010666 1410015999 1611446856 1880021332 2820031998 3760042664 5640063996 11280127992