Search a number
-
+
1122150749760 = 263752955291
BaseRepresentation
bin10000010101000101011…
…001011001011001000000
310222021110121121110000000
4100111011121121121000
5121341131042443020
62215301533000000
7144033640664625
oct20250531313100
93867417543000
101122150749760
113a29a0931157
12161592023000
1381a83c2c4b1
143c45328a34c
151e2ca45b090
hex10545659640

1122150749760 has 448 divisors, whose sum is σ = 4145838393600. Its totient is φ = 288916346880.

The previous prime is 1122150749737. The next prime is 1122150749779. The reversal of 1122150749760 is 679470512211.

1122150749760 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 150 + 7 + 497 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20267715 + ... + 20323005.

Almost surely, 21122150749760 is an apocalyptic number.

1122150749760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122150749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072919196800).

1122150749760 is an abundant number, since it is smaller than the sum of its proper divisors (3023687643840).

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

1122150749760 is an frugal number, since it uses more digits than its factorization.

1122150749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55358 (or 55330 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1122150749760 in words is "one trillion, one hundred twenty-two billion, one hundred fifty million, seven hundred forty-nine thousand, seven hundred sixty".