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139284725760 = 2143251961163
BaseRepresentation
bin1000000110111000000…
…1000100000000000000
3111022111222210011221200
42001232001010000000
54240223342211020
6143553031021200
713030414430445
oct2015601040000
9438458704850
10139284725760
1154085662004
1222bb220a800
13101996354bb
146a546399cc
153953033590
hex206e044000

139284725760 has 720 divisors, whose sum is σ = 519752775360. Its totient is φ = 34398535680.

The previous prime is 139284725747. The next prime is 139284725803. The reversal of 139284725760 is 67527482931.

It is a happy number.

139284725760 is a `hidden beast` number, since 1 + 3 + 9 + 28 + 47 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 139284725697 and 139284725706.

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, 854507439 + ... + 854507601.

It is a 1-persistent number, because it is pandigital, but 2⋅139284725760 = 278569451520 is not.

Almost surely, 2139284725760 is an apocalyptic number.

139284725760 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 139284725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259876387680).

139284725760 is an abundant number, since it is smaller than the sum of its proper divisors (380468049600).

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

139284725760 is a wasteful number, since it uses less digits than its factorization.

139284725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 139284725760 in words is "one hundred thirty-nine billion, two hundred eighty-four million, seven hundred twenty-five thousand, seven hundred sixty".