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211241003408 = 2479293570379
BaseRepresentation
bin1100010010111011110…
…0011110100110010000
3202012020202012211020222
43010232330132212100
511430110144102113
6241013123452212
721155514621461
oct3045674364620
9665222184228
10211241003408
1181650048466
1234b34227068
1316bc6159296
14a31cda8d68
15576526be08
hex312ef1e990

211241003408 has 40 divisors (see below), whose sum is σ = 415875465600. Its totient is φ = 103927434624.

The previous prime is 211241003401. The next prime is 211241003437. The reversal of 211241003408 is 804300142112.

211241003408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112410034082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211241003401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85163 + ... + 655541.

It is an arithmetic number, because the mean of its divisors is an integer number (10396886640).

Almost surely, 2211241003408 is an apocalyptic number.

It is an amenable number.

211241003408 is a deficient number, since it is larger than the sum of its proper divisors (204634462192).

211241003408 is a wasteful number, since it uses less digits than its factorization.

211241003408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570759 (or 570753 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 211241003408 in words is "two hundred eleven billion, two hundred forty-one million, three thousand, four hundred eight".

Divisors: 1 2 4 8 16 79 158 293 316 586 632 1172 1264 2344 4688 23147 46294 92588 185176 370352 570379 1140758 2281516 4563032 9126064 45059941 90119882 167121047 180239764 334242094 360479528 668484188 720959056 1336968376 2673936752 13202562713 26405125426 52810250852 105620501704 211241003408