Search a number
-
+
11382495344640 = 2113257271131271
BaseRepresentation
bin1010010110100011000110…
…0101110111100000000000
31111022011012200010102101100
42211220301211313200000
52442442322302012030
640113013550134400
72253233563026600
oct245506145674000
944264180112340
1011382495344640
11369931a976692
12133a0067b1400
13647498346c54
142b4cb6a10c00
1514b141443360
hexa5a31977800

11382495344640 has 1728 divisors, whose sum is σ = 47065068610560. Its totient is φ = 2536095744000.

The previous prime is 11382495344639. The next prime is 11382495344641. The reversal of 11382495344640 is 4644359428311.

11382495344640 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 49 + 534 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11382495344639) and next prime (11382495344641).

It is a super-2 number, since 2×113824953446402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382495344641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42001827705 + ... + 42001827975.

It is an arithmetic number, because the mean of its divisors is an integer number (27236729520).

Almost surely, 211382495344640 is an apocalyptic number.

11382495344640 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 11382495344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532534305280).

11382495344640 is an abundant number, since it is smaller than the sum of its proper divisors (35682573265920).

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

11382495344640 is a wasteful number, since it uses less digits than its factorization.

11382495344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 11382495344640 in words is "eleven trillion, three hundred eighty-two billion, four hundred ninety-five million, three hundred forty-four thousand, six hundred forty".