Search a number
-
+
405553316272 = 241319110208249
BaseRepresentation
bin1011110011011001101…
…11001000000110110000
31102202210201010001210021
411321230313020012300
523121033122110042
6510150355013224
741204663211316
oct5715467100660
91382721101707
10405553316272
11146aa3302085
1266722b9a214
132c321ccb9c0
14158b39380b6
15a8391ea867
hex5e6cdc81b0

405553316272 has 40 divisors (see below), whose sum is σ = 850633056000. Its totient is φ = 186198443520.

The previous prime is 405553316251. The next prime is 405553316279. The reversal of 405553316272 is 272613355504.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (405553316279) 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, 5064397 + ... + 5143852.

It is an arithmetic number, because the mean of its divisors is an integer number (21265826400).

Almost surely, 2405553316272 is an apocalyptic number.

It is an amenable number.

405553316272 is an abundant number, since it is smaller than the sum of its proper divisors (445079739728).

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

405553316272 is a wasteful number, since it uses less digits than its factorization.

405553316272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208461 (or 10208455 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 405553316272 in words is "four hundred five billion, five hundred fifty-three million, three hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 191 208 382 764 1528 2483 3056 4966 9932 19864 39728 10208249 20416498 40832996 81665992 132707237 163331984 265414474 530828948 1061657896 1949775559 2123315792 3899551118 7799102236 15598204472 25347082267 31196408944 50694164534 101388329068 202776658136 405553316272