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40007073648 = 2431723148371
BaseRepresentation
bin100101010000100110…
…110111111101110000
310211021011100220201110
4211100212313331300
51123413302324043
630213510233320
72614261341453
oct452046677560
9124234326643
1040007073648
1115a6aa4a633
127906355840
133a0768b159
141d174cd49a
151092432b33
hex9509b7f70

40007073648 has 40 divisors (see below), whose sum is σ = 103359741696. Its totient is φ = 13334641600.

The previous prime is 40007073599. The next prime is 40007073649. The reversal of 40007073648 is 84637070004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007073649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802903 + ... + 851273.

Almost surely, 240007073648 is an apocalyptic number.

40007073648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40007073648 is an abundant number, since it is smaller than the sum of its proper divisors (63352668048).

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

40007073648 is a wasteful number, since it uses less digits than its factorization.

40007073648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65613 (or 65607 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 40007073648 in words is "forty billion, seven million, seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 17231 34462 48371 51693 68924 96742 103386 137848 145113 193484 206772 275696 290226 386968 413544 580452 773936 827088 1160904 2321808 833480701 1666961402 2500442103 3333922804 5000884206 6667845608 10001768412 13335691216 20003536824 40007073648