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45373522792768 = 2611344931396393
BaseRepresentation
bin10100101000100010110001…
…01101010101000101000000
312221122122222211002000112121
422110101120231111011000
521421344433313332033
6240300150354334024
712362062123130662
oct1224213055250500
9187578884060477
1045373522792768
1113503891805285
125109838b8a314
131c419216c1c21
14b2c1397cc532
1553a40961d62d
hex294458b55140

45373522792768 has 56 divisors (see below), whose sum is σ = 90855163540008. Its totient is φ = 22480972824576.

The previous prime is 45373522792711. The next prime is 45373522792799. The reversal of 45373522792768 is 86729722537354.

It can be written as a sum of positive squares in 4 ways, for example, as 347382929664 + 45026139863104 = 589392^2 + 6710152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45373522792697 and 45373522792706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31795180 + ... + 33191572.

It is an arithmetic number, because the mean of its divisors is an integer number (1622413634643).

Almost surely, 245373522792768 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 45373522792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45427581770004).

45373522792768 is an abundant number, since it is smaller than the sum of its proper divisors (45481640747240).

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

45373522792768 is a wasteful number, since it uses less digits than its factorization.

45373522792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401011 (or 1401001 counting only the distinct ones).

The product of its digits is 1066867200, while the sum is 70.

The spelling of 45373522792768 in words is "forty-five trillion, three hundred seventy-three billion, five hundred twenty-two million, seven hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 4493 7232 8986 17972 35944 71888 143776 287552 507709 1015418 1396393 2030836 2792786 4061672 5585572 8123344 11171144 16246688 22342288 32493376 44684576 89369152 157792409 315584818 631169636 1262339272 2524678544 5049357088 6273993749 10098714176 12547987498 25095974996 50191949992 100383899984 200767799968 401535599936 708961293637 1417922587274 2835845174548 5671690349096 11343380698192 22686761396384 45373522792768