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138589705722 = 231319225119609
BaseRepresentation
bin1000000100010010010…
…1110001010111111010
3111020201112222111200210
42001010211301113322
54232312431040342
6143400042211550
713004245030116
oct2010445612772
9436645874623
10138589705722
1153859304186
1222a394b3bb6
13100b864aa40
1469ca1da746
153911ee679c
hex20449715fa

138589705722 has 96 divisors (see below), whose sum is σ = 316309613760. Its totient is φ = 40235616000.

The previous prime is 138589705711. The next prime is 138589705733. The reversal of 138589705722 is 227507985831.

It is an interprime number because it is at equal distance from previous prime (138589705711) and next prime (138589705733).

It is a super-2 number, since 2×1385897057222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7057854 + ... + 7077462.

It is an arithmetic number, because the mean of its divisors is an integer number (3294891810).

Almost surely, 2138589705722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138589705722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158154806880).

138589705722 is an abundant number, since it is smaller than the sum of its proper divisors (177719908038).

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

138589705722 is a wasteful number, since it uses less digits than its factorization.

138589705722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19916 (or 19897 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 138589705722 in words is "one hundred thirty-eight billion, five hundred eighty-nine million, seven hundred five thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 251 361 494 502 722 741 753 1083 1482 1506 2166 3263 4693 4769 6526 9386 9538 9789 14079 14307 19578 19609 28158 28614 39218 58827 61997 90611 117654 123994 181222 185991 254917 271833 371982 372571 509834 543666 745142 764751 1117713 1177943 1529502 2235426 2355886 3533829 4843423 4921859 7067658 7078849 9686846 9843718 14157698 14530269 14765577 21236547 29060538 29531154 42473094 63984167 92025037 93515321 127968334 184050074 187030642 191952501 276075111 280545963 383905002 552150222 561091926 1215699173 1776791099 2431398346 3553582198 3647097519 5330373297 7294195038 10660746594 23098284287 46196568574 69294852861 138589705722