Search a number
-
+
45013735105451 = 7831094637153287
BaseRepresentation
bin10100011110000100100111…
…01100001110001110101011
312220101021022121001210021222
422033002103230032032223
521400001112141333301
6235423005135452255
712324064214216120
oct1217022354161653
9186337277053258
1045013735105451
1113385243a63652
12506bb6898708b
131c16a14111858
14b189680a2747
15530d9d19931b
hex28f093b0e3ab

45013735105451 has 32 divisors (see below), whose sum is σ = 52553405076480. Its totient is φ = 37760242697856.

The previous prime is 45013735105447. The next prime is 45013735105483. The reversal of 45013735105451 is 15450153731054.

45013735105451 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45013735105451 - 22 = 45013735105447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45013735105441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293579930 + ... + 293733216.

It is an arithmetic number, because the mean of its divisors is an integer number (1642293908640).

Almost surely, 245013735105451 is an apocalyptic number.

45013735105451 is a deficient number, since it is larger than the sum of its proper divisors (7539669971029).

45013735105451 is a wasteful number, since it uses less digits than its factorization.

45013735105451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158123.

The product of its (nonzero) digits is 630000, while the sum is 44.

The spelling of 45013735105451 in words is "forty-five trillion, thirteen billion, seven hundred thirty-five million, one hundred five thousand, four hundred fifty-one".

Divisors: 1 7 83 109 581 763 4637 9047 32459 63329 153287 384871 505433 1073009 2694097 3538031 12722821 16708283 41950939 89059747 116957981 293656573 710791819 1386787489 4975542733 9707512423 58995720977 77476308271 412970046839 542334157897 6430533586493 45013735105451