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938899900001 = 72374112630997
BaseRepresentation
bin11011010100110101100…
…10111000011001100001
310022202110112210202020102
431222122302320121201
5110340331333300001
61555154043152145
7124555546320500
oct15523262703141
93282415722212
10938899900001
11332204575488
12131b6b815655
136a6cb95430b
143362b82a837
151965265ce6b
hexda9acb8661

938899900001 has 24 divisors (see below), whose sum is σ = 1149067150056. Its totient is φ = 763922638080.

The previous prime is 938899899997. The next prime is 938899900007. The reversal of 938899900001 is 100009998839.

938899900001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 416026290001 + 522873610000 = 645001^2 + 723100^2 .

It is not a de Polignac number, because 938899900001 - 22 = 938899899997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 938899900001.

It is not an unprimeable number, because it can be changed into a prime (938899900007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6241166 + ... + 6389831.

It is an arithmetic number, because the mean of its divisors is an integer number (47877797919).

Almost surely, 2938899900001 is an apocalyptic number.

It is an amenable number.

938899900001 is a deficient number, since it is larger than the sum of its proper divisors (210167250055).

938899900001 is a wasteful number, since it uses less digits than its factorization.

938899900001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12631089 (or 12631082 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 56.

The spelling of 938899900001 in words is "nine hundred thirty-eight billion, eight hundred ninety-nine million, nine hundred thousand, one".

Divisors: 1 7 37 41 49 259 287 1517 1813 2009 10619 74333 12630997 88416979 467346889 517870877 618918853 3271428223 3625096139 19161222449 22899997561 25375672973 134128557143 938899900001