Search a number
-
+
90806593909446 = 232167106328418107
BaseRepresentation
bin10100101001011010001110…
…110001011111001011000110
3102220112000200122211022201100
4110221122032301133023012
543400233401020100241
6521043550124240530
725061363022546522
oct2451321661371306
9386460618738640
1090806593909446
1126a2a950a36698
12a226b146a0146
133b890430a846c
14185d0c3a96d82
15a7714b9be9b6
hex52968ec5f2c6

90806593909446 has 48 divisors (see below), whose sum is σ = 198111952007424. Its totient is φ = 30059308457712.

The previous prime is 90806593909429. The next prime is 90806593909457. The reversal of 90806593909446 is 64490939560809.

90806593909446 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 6 + 5 + 93 + 90 + 9 + 446 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11013676 + ... + 17404431.

It is an arithmetic number, because the mean of its divisors is an integer number (4127332333488).

Almost surely, 290806593909446 is an apocalyptic number.

90806593909446 is an abundant number, since it is smaller than the sum of its proper divisors (107305358097978).

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

90806593909446 is a wasteful number, since it uses less digits than its factorization.

90806593909446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28419345 (or 28419342 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 90806593909446 in words is "ninety trillion, eight hundred six billion, five hundred ninety-three million, nine hundred nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 167 334 501 1002 1063 1503 2126 3006 3189 6378 9567 19134 177521 355042 532563 1065126 1597689 3195378 28418107 56836214 85254321 170508642 255762963 511525926 4745823869 9491647738 14237471607 28474943214 30208447741 42712414821 60416895482 85424829642 90625343223 181250686446 271876029669 543752059338 5044810772747 10089621545494 15134432318241 30268864636482 45403296954723 90806593909446