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138338390752 = 2547701131213
BaseRepresentation
bin1000000011010110011…
…1000101001011100000
3111020002001002101100221
42000311213011023200
54231304112001002
6143315103452424
712665103630322
oct2006547051340
9436061071327
10138338390752
115373a462561
12229892b7114
1310078567963
1469a4a9b612
1538e9e02c37
hex20359c52e0

138338390752 has 48 divisors (see below), whose sum is σ = 278547377472. Its totient is φ = 67600422400.

The previous prime is 138338390747. The next prime is 138338390843. The reversal of 138338390752 is 257093833831.

It is a self number, because there is not a number n which added to its sum of digits gives 138338390752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988698 + ... + 1119910.

It is an arithmetic number, because the mean of its divisors is an integer number (5803070364).

Almost surely, 2138338390752 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 138338390752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139273688736).

138338390752 is an abundant number, since it is smaller than the sum of its proper divisors (140208986720).

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

138338390752 is a wasteful number, since it uses less digits than its factorization.

138338390752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131971 (or 131963 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 138338390752 in words is "one hundred thirty-eight billion, three hundred thirty-eight million, three hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 701 752 1402 1504 2804 5608 11216 22432 32947 65894 131213 131788 262426 263576 524852 527152 1049704 1054304 2099408 4198816 6167011 12334022 24668044 49336088 91980313 98672176 183960626 197344352 367921252 735842504 1471685008 2943370016 4323074711 8646149422 17292298844 34584597688 69169195376 138338390752