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11322970286544 = 2434721095716273
BaseRepresentation
bin1010010011000101010110…
…0111110010100111010000
31111002110120021020011110000
42210301111213302213100
52441003420343132134
640025411205410000
72246025521262300
oct244612547624720
944073507204400
1011322970286544
1136760545a04a4
12132a573a09900
136419a010a397
142b206b26d600
1514980a758e99
hexa4c559f29d0

11322970286544 has 300 divisors, whose sum is σ = 38128307503044. Its totient is φ = 3234640324608.

The previous prime is 11322970286533. The next prime is 11322970286561. The reversal of 11322970286544 is 44568207922311.

It is a happy number.

11322970286544 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 2 + 9 + 70 + 28 + 6 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9397780736400 + 1925189550144 = 3065580^2 + 1387512^2 .

It is a super-2 number, since 2×113229702865442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 695805192 + ... + 695821464.

It is a 1-persistent number, because it is pandigital, but 2⋅11322970286544 = 22645940573088 is not.

Almost surely, 211322970286544 is an apocalyptic number.

11322970286544 is a gapful number since it is divisible by the number (14) 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 11322970286544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19064153751522).

11322970286544 is an abundant number, since it is smaller than the sum of its proper divisors (26805337216500).

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

11322970286544 is a wasteful number, since it uses less digits than its factorization.

11322970286544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27264 (or 27242 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11322970286544 in words is "eleven trillion, three hundred twenty-two billion, nine hundred seventy million, two hundred eighty-six thousand, five hundred forty-four".