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138968903448 = 2333677994907
BaseRepresentation
bin1000000101101100110…
…0010010111100011000
3111021200222111202012000
42001123030102330120
54234102014402243
6143501425521000
713016531121624
oct2013314227430
9437628452160
10138968903448
1153a33361031
1222b244a3160
13101490879ab
146a24708184
15393544b5d3
hex205b312f18

138968903448 has 64 divisors (see below), whose sum is σ = 386085744000. Its totient is φ = 46315646496.

The previous prime is 138968903401. The next prime is 138968903449. The reversal of 138968903448 is 844309869831.

138968903448 is a `hidden beast` number, since 13 + 8 + 96 + 8 + 90 + 3 + 448 = 666.

138968903448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1389689034482 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138968903449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416811 + ... + 1511717.

It is an arithmetic number, because the mean of its divisors is an integer number (6032589750).

Almost surely, 2138968903448 is an apocalyptic number.

138968903448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138968903448 is an abundant number, since it is smaller than the sum of its proper divisors (247116840552).

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

138968903448 is a wasteful number, since it uses less digits than its factorization.

138968903448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101701 (or 101691 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 138968903448 in words is "one hundred thirty-eight billion, nine hundred sixty-eight million, nine hundred three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 6779 13558 20337 27116 40674 54232 61011 81348 94907 122022 162696 183033 189814 244044 284721 366066 379628 488088 569442 732132 759256 854163 1138884 1464264 1708326 2277768 2562489 3416652 5124978 6833304 10249956 20499912 643374553 1286749106 1930123659 2573498212 3860247318 5146996424 5790370977 7720494636 11580741954 15440989272 17371112931 23161483908 34742225862 46322967816 69484451724 138968903448