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138895286680 = 2357348139883
BaseRepresentation
bin1000000101011011001…
…1011110000110011000
3111021111211222121222001
42001112303132012120
54233424143133210
6143450240010344
713014645312523
oct2012663360630
9437454877861
10138895286680
11539a584a727
1222b039009b4
1310136a50b87
146a18a23bba
15392dc5903a
hex2056cde198

138895286680 has 64 divisors (see below), whose sum is σ = 316893296160. Its totient is φ = 54780115968.

The previous prime is 138895286623. The next prime is 138895286683. The reversal of 138895286680 is 86682598831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138895286683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14049019 + ... + 14058901.

Almost surely, 2138895286680 is an apocalyptic number.

138895286680 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 138895286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158446648080).

138895286680 is an abundant number, since it is smaller than the sum of its proper divisors (177998009480).

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

138895286680 is a wasteful number, since it uses less digits than its factorization.

138895286680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 138895286680 in words is "one hundred thirty-eight billion, eight hundred ninety-five million, two hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4813 9626 9883 19252 19766 24065 38504 39532 48130 49415 79064 96260 98830 192520 197660 351349 395320 702698 721459 1405396 1442918 1756745 2810792 2885836 3513490 3607295 5771672 7026980 7214590 14053960 14429180 28858360 47566879 95133758 190267516 237834395 380535032 475668790 951337580 1902675160 3472382167 6944764334 13889528668 17361910835 27779057336 34723821670 69447643340 138895286680