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1133202545640 = 23325112936071609
BaseRepresentation
bin10000011111011000001…
…000101001101111101000
311000022222211111211211100
4100133120020221233220
5122031244322430030
62224330331201400
7144604546465104
oct20373010515750
94008884454740
101133202545640
113a7652326a60
121637572a6260
1382b257c0799
143cbc0da0904
151e72582c360
hex107d8229be8

1133202545640 has 384 divisors, whose sum is σ = 4040581708800. Its totient is φ = 273157263360.

The previous prime is 1133202545623. The next prime is 1133202545653. The reversal of 1133202545640 is 465452023311.

1133202545640 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 0 + 2 + 5 + 4 + 5 + 640 = 666.

It is a super-4 number, since 4×11332025456404 (a number of 49 digits) contains 4444 as substring.

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 = 1133202545595 and 1133202545604.

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 95 ways as a sum of consecutive naturals, for example, 704289156 + ... + 704290764.

It is an arithmetic number, because the mean of its divisors is an integer number (10522348200).

Almost surely, 21133202545640 is an apocalyptic number.

1133202545640 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 1133202545640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020290854400).

1133202545640 is an abundant number, since it is smaller than the sum of its proper divisors (2907379163160).

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

1133202545640 is a wasteful number, since it uses less digits than its factorization.

1133202545640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1133202545640 its reverse (465452023311), we get a palindrome (1598654568951).

The spelling of 1133202545640 in words is "one trillion, one hundred thirty-three billion, two hundred two million, five hundred forty-five thousand, six hundred forty".