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40755078624 = 25313271120503
BaseRepresentation
bin100101111101001100…
…010010010111100000
310220012021212111122110
4211331030102113200
51131431300003444
630420030435320
72641643311131
oct457514222740
9126167774573
1040755078624
11163141a7867
127a94962b40
133ac6637850
141d889a1c88
1510d7e38cb9
hex97d3125e0

40755078624 has 96 divisors (see below), whose sum is σ = 115637566464. Its totient is φ = 12493647360.

The previous prime is 40755078619. The next prime is 40755078649. The reversal of 40755078624 is 42687055704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 277957 + ... + 398459.

It is an arithmetic number, because the mean of its divisors is an integer number (1204557984).

Almost surely, 240755078624 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 40755078624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57818783232).

40755078624 is an abundant number, since it is smaller than the sum of its proper divisors (74882487840).

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

40755078624 is a wasteful number, since it uses less digits than its factorization.

40755078624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120800 (or 120792 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 40755078624 in words is "forty billion, seven hundred fifty-five million, seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 271 312 416 542 624 813 1084 1248 1626 2168 3252 3523 4336 6504 7046 8672 10569 13008 14092 21138 26016 28184 42276 56368 84552 112736 120503 169104 241006 338208 361509 482012 723018 964024 1446036 1566539 1928048 2892072 3133078 3856096 4699617 5784144 6266156 9399234 11568288 12532312 18798468 25064624 32656313 37596936 50129248 65312626 75193872 97968939 130625252 150387744 195937878 261250504 391875756 424532069 522501008 783751512 849064138 1045002016 1273596207 1567503024 1698128276 2547192414 3135006048 3396256552 5094384828 6792513104 10188769656 13585026208 20377539312 40755078624