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138786851736 = 233313193138311
BaseRepresentation
bin1000000101000001010…
…1110100101110011000
3111021020021221120012000
42001100111310232120
54233213413223421
6143431403521000
713012160526621
oct2012025645630
9437207846160
10138786851736
115394a617975
1222a93529160
131011a445ca0
146a08478a48
15392448a226
hex2050574b98

138786851736 has 256 divisors, whose sum is σ = 438474624000. Its totient is φ = 40321981440.

The previous prime is 138786851713. The next prime is 138786851771. The reversal of 138786851736 is 637158687831.

138786851736 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 86 + 8 + 517 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16695021 + ... + 16703331.

It is an arithmetic number, because the mean of its divisors is an integer number (1712791500).

Almost surely, 2138786851736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138786851736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219237312000).

138786851736 is an abundant number, since it is smaller than the sum of its proper divisors (299687772264).

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

138786851736 is a wasteful number, since it uses less digits than its factorization.

138786851736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8661 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 138786851736 in words is "one hundred thirty-eight billion, seven hundred eighty-six million, eight hundred fifty-one thousand, seven hundred thirty-six".