Search a number
-
+
481052116409 = 41611210715887
BaseRepresentation
bin1110000000000001111…
…00001100010110111001
31200222200100102111101012
413000000330030112321
530340143320211114
61004554200203305
746516630344254
oct7000074142671
91628610374335
10481052116409
11176016419077
1279293469535
1336494729b37
14193d697409b
15c7a744063e
hex7000f0c5b9

481052116409 has 16 divisors (see below), whose sum is σ = 500936438016. Its totient is φ = 461558198400.

The previous prime is 481052116339. The next prime is 481052116469. The reversal of 481052116409 is 904611250184.

It is a cyclic number.

It is not a de Polignac number, because 481052116409 - 236 = 412332639673 is a prime.

It is a super-3 number, since 3×4810521164093 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481052116469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30271664 + ... + 30287550.

It is an arithmetic number, because the mean of its divisors is an integer number (31308527376).

Almost surely, 2481052116409 is an apocalyptic number.

It is an amenable number.

481052116409 is a deficient number, since it is larger than the sum of its proper divisors (19884321607).

481052116409 is a wasteful number, since it uses less digits than its factorization.

481052116409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28096.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 481052116409 in words is "four hundred eighty-one billion, fifty-two million, one hundred sixteen thousand, four hundred nine".

Divisors: 1 41 61 2501 12107 15887 496387 651367 738527 969107 30279607 39733387 192343909 7886100269 11732978449 481052116409