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138029866236 = 223323287919301
BaseRepresentation
bin1000000010001100111…
…0001001110011111100
3111012021112112201022000
42000203032021303330
54230141121204421
6143224323022300
712654336335043
oct2004316116374
9435245481260
10138029866236
11535a1296519
1222901b0a990
1310029673a82
146975b0955a
1538cccad226
hex2023389cfc

138029866236 has 96 divisors (see below), whose sum is σ = 373563187200. Its totient is φ = 43991956800.

The previous prime is 138029866207. The next prime is 138029866237. The reversal of 138029866236 is 632668920831.

138029866236 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 2 + 9 + 8 + 6 + 623 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138029866237) 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 31 ways as a sum of consecutive naturals, for example, 7141786 + ... + 7161086.

It is an arithmetic number, because the mean of its divisors is an integer number (3891283200).

Almost surely, 2138029866236 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 138029866236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186781593600).

138029866236 is an abundant number, since it is smaller than the sum of its proper divisors (235533320964).

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

138029866236 is a wasteful number, since it uses less digits than its factorization.

138029866236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22216 (or 22208 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 138029866236 in words is "one hundred thirty-eight billion, twenty-nine million, eight hundred sixty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 2879 5758 8637 11516 17274 19301 25911 34548 38602 51822 57903 66217 77204 77733 103644 115806 132434 155466 173709 198651 231612 264868 310932 347418 397302 443923 521127 595953 694836 794604 887846 1042254 1191906 1331769 1775692 1787859 2084508 2383812 2663538 3575718 3995307 5327076 7151436 7990614 11985921 15981228 23971842 47943684 55567579 111135158 166702737 222270316 333405474 500108211 666810948 1000216422 1278054317 1500324633 2000432844 2556108634 3000649266 3834162951 5112217268 6001298532 7668325902 11502488853 15336651804 23004977706 34507466559 46009955412 69014933118 138029866236