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45424322496 = 2632779142607
BaseRepresentation
bin101010010011100000…
…000010011111000000
311100020200212200002200
4222103200002133000
51221012111304441
632511224513200
73165441241050
oct522340023700
9140220780080
1045424322496
111829a9338a3
12897861b800
13438baba447
1422acb65560
1512acd087b6
hexa938027c0

45424322496 has 168 divisors, whose sum is σ = 150685317120. Its totient is φ = 12814004736.

The previous prime is 45424322491. The next prime is 45424322497. The reversal of 45424322496 is 69422342454.

45424322496 is a `hidden beast` number, since 4 + 542 + 43 + 22 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×454243224962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45424322491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247225 + ... + 389831.

Almost surely, 245424322496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45424322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75342658560).

45424322496 is an abundant number, since it is smaller than the sum of its proper divisors (105260994624).

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

45424322496 is a wasteful number, since it uses less digits than its factorization.

45424322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142711 (or 142698 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

It can be divided in two parts, 4 and 5424322496, that added together give a square (5424322500 = 736502).

The spelling of 45424322496 in words is "forty-five billion, four hundred twenty-four million, three hundred twenty-two thousand, four hundred ninety-six".