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4081521906 = 233711289237
BaseRepresentation
bin1111001101000111…
…0001010011110010
3101112110002210111000
43303101301103302
531324332200111
61513001102430
7203100235530
oct36321612362
911473083430
104081521906
111804a04900
1295aa87a16
13500795727
142aa0d5150
1518d4c9c56
hexf34714f2

4081521906 has 96 divisors (see below), whose sum is σ = 11393907840. Its totient is φ = 1060123680.

The previous prime is 4081521901. The next prime is 4081521923. The reversal of 4081521906 is 6091251804.

4081521906 is a `hidden beast` number, since 40 + 8 + 1 + 521 + 90 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4081521901) 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, 1120 + ... + 90356.

It is an arithmetic number, because the mean of its divisors is an integer number (118686540).

Almost surely, 24081521906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081521906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696953920).

4081521906 is an abundant number, since it is smaller than the sum of its proper divisors (7312385934).

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

4081521906 is a wasteful number, since it uses less digits than its factorization.

4081521906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89277 (or 89260 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4081521906 is about 63886.7897612644. The cubic root of 4081521906 is about 1598.1126059757.

The spelling of 4081521906 in words is "four billion, eighty-one million, five hundred twenty-one thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1386 1694 2079 2178 2541 3267 4158 5082 6534 7623 15246 22869 45738 89237 178474 267711 535422 624659 803133 981607 1249318 1606266 1873977 1963214 2409399 2944821 3747954 4818798 5621931 5889642 6871249 8834463 10797677 11243862 13742498 16865793 17668926 20613747 21595354 26503389 32393031 33731586 41227494 53006778 61841241 64786062 75583739 97179093 123682482 151167478 185523723 194358186 226751217 291537279 371047446 453502434 583074558 680253651 1360507302 2040760953 4081521906