Search a number
-
+
45392859136 = 21233292
BaseRepresentation
bin101010010001101000…
…000001000000000000
311100011111200011111001
4222101220001000000
51220431032443021
632504142301344
73164606636122
oct522150010000
9140144604431
1045392859136
11182840a3a19
128969b87854
134385422381
1422a88d5212
1512aa191091
hexa91a01000

45392859136 has 39 divisors (see below), whose sum is σ = 90801912061. Its totient is φ = 22689611776.

The previous prime is 45392859103. The next prime is 45392859139. The reversal of 45392859136 is 63195829354.

The square root of 45392859136 is 213056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17703899136 + 27688960000 = 133056^2 + 166400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45392859139) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13633920 + ... + 13637248.

Almost surely, 245392859136 is an apocalyptic number.

45392859136 is the 213056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45392859136

45392859136 is an abundant number, since it is smaller than the sum of its proper divisors (45409052925).

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

45392859136 is an frugal number, since it uses more digits than its factorization.

45392859136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 3331 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 45392859136 in words is "forty-five billion, three hundred ninety-two million, eight hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3329 4096 6658 13316 26632 53264 106528 213056 426112 852224 1704448 3408896 6817792 11082241 13635584 22164482 44328964 88657928 177315856 354631712 709263424 1418526848 2837053696 5674107392 11348214784 22696429568 45392859136