Search a number
-
+
45446544450 = 2345211221369
BaseRepresentation
bin101010010100110100…
…110011110001000010
311100022020200122220000
4222110310303301002
51221033303410300
632513341100430
73166131153066
oct522464636102
9140266618800
1045446544450
111830143154a
128983b57716
13439359b028
1422b1aabaa6
1512aec47c00
hexa94d33c42

45446544450 has 60 divisors (see below), whose sum is σ = 126274076610. Its totient is φ = 12119077440.

The previous prime is 45446544433. The next prime is 45446544511. The reversal of 45446544450 is 5444564454.

45446544450 is a `hidden beast` number, since 4 + 54 + 4 + 6 + 544 + 4 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32584943169 + 12861601281 = 180513^2 + 113409^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 45446544396 and 45446544405.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5606635 + ... + 5614734.

Almost surely, 245446544450 is an apocalyptic number.

45446544450 is an abundant number, since it is smaller than the sum of its proper divisors (80827532160).

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

45446544450 is a wasteful number, since it uses less digits than its factorization.

45446544450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221393 (or 11221379 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 45446544450 in words is "forty-five billion, four hundred forty-six million, five hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 11221369 22442738 33664107 56106845 67328214 100992321 112213690 168320535 201984642 280534225 302976963 336641070 504961605 561068450 605953926 841602675 908930889 1009923210 1514884815 1683205350 1817861778 2524808025 3029769630 4544654445 5049616050 7574424075 9089308890 15148848150 22723272225 45446544450