Search a number
-
+
1049557789280 = 25572111322331101
BaseRepresentation
bin11110100010111101000…
…01001110101001100000
310201100002111010222001002
433101132201032221200
5114143443243224110
62122054333531132
7135554010003500
oct17213641165140
93640074128032
101049557789280
1137512a012540
1214b4b2943aa8
1377c85538100
1438b28145a00
151c47c3aaaa5
hexf45e84ea60

1049557789280 has 1728 divisors, whose sum is σ = 3706469093376. Its totient is φ = 276756480000.

The previous prime is 1049557789237. The next prime is 1049557789297. The reversal of 1049557789280 is 829877559401.

It is a super-2 number, since 2×10495577892802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10391661230 + ... + 10391661330.

It is an arithmetic number, because the mean of its divisors is an integer number (2144947392).

Almost surely, 21049557789280 is an apocalyptic number.

1049557789280 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 1049557789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853234546688).

1049557789280 is an abundant number, since it is smaller than the sum of its proper divisors (2656911304096).

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

1049557789280 is a wasteful number, since it uses less digits than its factorization.

1049557789280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 65.

It can be divided in two parts, 10495 and 57789280, that added together give a palindrome (57799775).

The spelling of 1049557789280 in words is "one trillion, forty-nine billion, five hundred fifty-seven million, seven hundred eighty-nine thousand, two hundred eighty".