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211407038028 = 223219615066797
BaseRepresentation
bin1100010011100011010…
…1110110011001001100
3202012200022122020221100
43010320311312121030
511430430200204103
6241041414303100
721162602113434
oct3047065663114
9665608566840
10211407038028
118172584175a
1234b7b957a90
1316c21680714
14a3370692c4
155774b175a3
hex3138d7664c

211407038028 has 72 divisors (see below), whose sum is σ = 571737486320. Its totient is φ = 65665676160.

The previous prime is 211407037999. The next prime is 211407038033. The reversal of 211407038028 is 820830704112.

211407038028 is a `hidden beast` number, since 211 + 40 + 7 + 0 + 380 + 28 = 666.

211407038028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211407037983 and 211407038001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491675 + ... + 2575122.

Almost surely, 2211407038028 is an apocalyptic number.

It is an amenable number.

211407038028 is an abundant number, since it is smaller than the sum of its proper divisors (360330448292).

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

211407038028 is a wasteful number, since it uses less digits than its factorization.

211407038028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066887 (or 5066882 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 211407038028 in words is "two hundred eleven billion, four hundred seven million, thirty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 3477 4636 6954 10431 13908 20862 41724 5066797 10133594 15200391 20267188 30400782 45601173 60801564 91202346 96269143 182404692 192538286 288807429 309074617 385076572 577614858 618149234 866422287 927223851 1155229716 1236298468 1732844574 1854447702 2781671553 3465689148 3708895404 5563343106 5872417723 11126686212 11744835446 17617253169 23489670892 35234506338 52851759507 70469012676 105703519014 211407038028