Search a number
-
+
45716634964 = 227111311417741
BaseRepresentation
bin101010100100111011…
…000111110101010100
311101000001220200102101
4222210323013311110
51222111424304324
633000230051444
73205620662020
oct524473076524
9141001820371
1045716634964
111842a937550
128a3a4a9b84
1344075260c0
1422d98d7380
1512c87e9944
hexaa4ec7d54

45716634964 has 48 divisors (see below), whose sum is σ = 107418116736. Its totient is φ = 16441545600.

The previous prime is 45716634961. The next prime is 45716635031. The reversal of 45716634964 is 46943661754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45716634961) 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 15 ways as a sum of consecutive naturals, for example, 5704867 + ... + 5712874.

It is an arithmetic number, because the mean of its divisors is an integer number (2237877432).

Almost surely, 245716634964 is an apocalyptic number.

45716634964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45716634964 is an abundant number, since it is smaller than the sum of its proper divisors (61701481772).

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

45716634964 is a wasteful number, since it uses less digits than its factorization.

45716634964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417776 (or 11417774 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 55.

The spelling of 45716634964 in words is "forty-five billion, seven hundred sixteen million, six hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 11417741 22835482 45670964 79924187 125595151 148430633 159848374 251190302 296861266 319696748 502380604 593722532 879166057 1039014431 1632736963 1758332114 2078028862 3265473926 3516664228 4156057724 6530947852 11429158741 22858317482 45716634964