Search a number
-
+
35945359045 = 5172831072801
BaseRepresentation
bin100001011110100000…
…101010011011000101
310102210002112102202021
4201132200222123011
51042104002442140
624302453443141
72411521340101
oct413640523305
9112702472667
1035945359045
1114276244302
126b720404b1
13350b03c22b
141a4dcb2901
15e05a6bb4a
hex85e82a6c5

35945359045 has 48 divisors (see below), whose sum is σ = 46823168448. Its totient is φ = 26479308800.

The previous prime is 35945359033. The next prime is 35945359061. The reversal of 35945359045 is 54095354953.

It is a de Polignac number, because none of the positive numbers 2k-35945359045 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35945358983 and 35945359001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12831645 + ... + 12834445.

It is an arithmetic number, because the mean of its divisors is an integer number (975482676).

Almost surely, 235945359045 is an apocalyptic number.

It is an amenable number.

35945359045 is a deficient number, since it is larger than the sum of its proper divisors (10877809403).

35945359045 is a wasteful number, since it uses less digits than its factorization.

35945359045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 52.

The spelling of 35945359045 in words is "thirty-five billion, nine hundred forty-five million, three hundred fifty-nine thousand, forty-five".

Divisors: 1 5 17 83 85 107 289 415 535 1411 1445 1819 2801 7055 8881 9095 14005 23987 30923 44405 47617 119935 150977 154615 232483 238085 299707 754885 809489 1162415 1498535 2566609 3952211 4047445 5095019 12833045 19761055 24875681 25475095 67187587 86615323 124378405 335937935 422886577 433076615 2114432885 7189071809 35945359045