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138669140992 = 2104310131181
BaseRepresentation
bin1000000100100101010…
…0110010110000000000
3111020221002110020101211
42001021110302300000
54232443300002432
6143412000535504
713006231151614
oct2011124626000
9436832406354
10138669140992
115389a12a068
1222a60021594
13100cbc41065
1469d6997344
153918e87d47
hex2049532c00

138669140992 has 88 divisors (see below), whose sum is σ = 286467038352. Its totient is φ = 67049472000.

The previous prime is 138669140989. The next prime is 138669141041. The reversal of 138669140992 is 299041966831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4431642 + ... + 4462822.

It is an arithmetic number, because the mean of its divisors is an integer number (3255307254).

Almost surely, 2138669140992 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 138669140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143233519176).

138669140992 is an abundant number, since it is smaller than the sum of its proper divisors (147797897360).

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

138669140992 is a wasteful number, since it uses less digits than its factorization.

138669140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31345 (or 31327 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 138669140992 in words is "one hundred thirty-eight billion, six hundred sixty-nine million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 64 86 101 128 172 202 256 344 404 512 688 808 1024 1376 1616 2752 3232 4343 5504 6464 8686 11008 12928 17372 22016 25856 31181 34744 44032 51712 62362 69488 103424 124724 138976 249448 277952 498896 555904 997792 1111808 1340783 1995584 2223616 2681566 3149281 3991168 4447232 5363132 6298562 7982336 10726264 12597124 15964672 21452528 25194248 31929344 42905056 50388496 85810112 100776992 135419083 171620224 201553984 270838166 343240448 403107968 541676332 686480896 806215936 1083352664 1372961792 1612431872 2166705328 3224863744 4333410656 8666821312 17333642624 34667285248 69334570496 138669140992