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13244247724248 = 233217232155313171
BaseRepresentation
bin1100000010111010101010…
…1011100101000011011000
31201220010201101200111111200
43000232222223211003120
53213443204404133443
644100153504554200
72534602543116042
oct300565253450330
951803641614450
1013244247724248
114246943622042
12159a9a7922960
13750c090a5138
1433b04c8b0a92
1517e7a749cdd3
hexc0baaae50d8

13244247724248 has 288 divisors, whose sum is σ = 39731502086640. Its totient is φ = 3971542671360.

The previous prime is 13244247724219. The next prime is 13244247724277. The reversal of 13244247724248 is 84242774244231.

13244247724248 is a `hidden beast` number, since 1 + 324 + 4 + 2 + 4 + 7 + 72 + 4 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (13244247724219) and next prime (13244247724277).

It is a super-3 number, since 3×132442477242483 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13244247724194 and 13244247724203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1005554703 + ... + 1005567873.

Almost surely, 213244247724248 is an apocalyptic number.

13244247724248 is a gapful number since it is divisible by the number (18) 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 13244247724248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865751043320).

13244247724248 is an abundant number, since it is smaller than the sum of its proper divisors (26487254362392).

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

13244247724248 is a wasteful number, since it uses less digits than its factorization.

13244247724248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14799 (or 14769 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 54.

The spelling of 13244247724248 in words is "thirteen trillion, two hundred forty-four billion, two hundred forty-seven million, seven hundred twenty-four thousand, two hundred forty-eight".