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138185620470 = 232517144762417
BaseRepresentation
bin1000000010110010000…
…0010011101111110110
3111012200101121211221100
42000230200103233312
54231001004323340
6143252005230530
712661240252032
oct2005440235766
9435611554840
10138185620470
11536711a8a27
1222946102446
1310052a08b41
14698c6911c2
1538db7c7830
hex202c813bf6

138185620470 has 96 divisors (see below), whose sum is σ = 380685883968. Its totient is φ = 34657357824.

The previous prime is 138185620459. The next prime is 138185620471. The reversal of 138185620470 is 74026581831.

138185620470 is a `hidden beast` number, since 1 + 3 + 8 + 18 + 5 + 620 + 4 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138185620471) 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 47 ways as a sum of consecutive naturals, for example, 2182702 + ... + 2245118.

It is an arithmetic number, because the mean of its divisors is an integer number (3965477958).

Almost surely, 2138185620470 is an apocalyptic number.

138185620470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138185620470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190342941984).

138185620470 is an abundant number, since it is smaller than the sum of its proper divisors (242500263498).

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

138185620470 is a wasteful number, since it uses less digits than its factorization.

138185620470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63894 (or 63891 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 138185620470 in words is "one hundred thirty-eight billion, one hundred eighty-five million, six hundred twenty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1447 1530 2894 4341 7235 8682 13023 14470 21705 24599 26046 43410 49198 62417 65115 73797 122995 124834 130230 147594 187251 221391 245990 312085 368985 374502 442782 561753 624170 737970 936255 1061089 1106955 1123506 1872510 2122178 2213910 2808765 3183267 5305445 5617530 6366534 9549801 10610890 15916335 19099602 31832670 47749005 90317399 95498010 180634798 270952197 451586995 541904394 812856591 903173990 1354760985 1535395783 1625713182 2709521970 3070791566 4064282955 4606187349 7676978915 8128565910 9212374698 13818562047 15353957830 23030936745 27637124094 46061873490 69092810235 138185620470