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11627016640560 = 2432519988385999
BaseRepresentation
bin1010100100110010000000…
…1100100101100000110000
31112011112100210002021101200
42221030200030211200300
53010444112224444220
640421213330131200
72310011211532266
oct251144014454060
945145323067350
1011627016640560
113782a98861422
121379488420b00
1366456633a3b9
142c2a71950436
151526a3297890
hexa9320325830

11627016640560 has 240 divisors, whose sum is σ = 41107160640000. Its totient is φ = 2937020207616.

The previous prime is 11627016640549. The next prime is 11627016640571. The reversal of 11627016640560 is 6504661072611.

11627016640560 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 70 + 16 + 6 + 4 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11627016640549) and next prime (11627016640571).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×116270166405602 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 135156441 + ... + 135242439.

It is an arithmetic number, because the mean of its divisors is an integer number (171279836000).

Almost surely, 211627016640560 is an apocalyptic number.

11627016640560 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 11627016640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553580320000).

11627016640560 is an abundant number, since it is smaller than the sum of its proper divisors (29480143999440).

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

11627016640560 is a wasteful number, since it uses less digits than its factorization.

11627016640560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95920 (or 95911 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11627016640560 in words is "eleven trillion, six hundred twenty-seven billion, sixteen million, six hundred forty thousand, five hundred sixty".