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13869584640 = 28355174361
BaseRepresentation
bin11001110101011000…
…10001000100000000
31022210121001220100000
430322230101010000
5211401103202030
610212133200000
71000462344552
oct147254210400
938717056300
1013869584640
11597802324a
122830a90000
1314005a9322
149580494d2
15562971860
hex33ab11100

13869584640 has 864 divisors, whose sum is σ = 54801242496. Its totient is φ = 3344302080.

The previous prime is 13869584633. The next prime is 13869584647. The reversal of 13869584640 is 4648596831.

13869584640 is a `hidden beast` number, since 13 + 8 + 6 + 9 + 584 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13869584633) and next prime (13869584647).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×138695846402 (a number of 21 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 not an unprimeable number, because it can be changed into a prime (13869584647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227370210 + ... + 227370270.

It is an arithmetic number, because the mean of its divisors is an integer number (63427364).

Almost surely, 213869584640 is an apocalyptic number.

13869584640 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 13869584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27400621248).

13869584640 is an abundant number, since it is smaller than the sum of its proper divisors (40931657856).

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

13869584640 is an equidigital number, since it uses as much as digits as its factorization.

13869584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13869584640 in words is "thirteen billion, eight hundred sixty-nine million, five hundred eighty-four thousand, six hundred forty".