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747980540064 = 253229377173467
BaseRepresentation
bin10101110001001110001…
…11010100100010100000
32122111200001100101010100
422320213013110202200
544223331004240224
61331341214502400
7105016440454662
oct12704707244240
92574601311110
10747980540064
1126924257359a
12100b69204a00
13556c3a0ac54
14282b9752532
15146cb4e3ac9
hexae271d48a0

747980540064 has 576 divisors, whose sum is σ = 2328084944640. Its totient is φ = 227273195520.

The previous prime is 747980540039. The next prime is 747980540113. The reversal of 747980540064 is 460045089747.

747980540064 is a `hidden beast` number, since 7 + 4 + 7 + 98 + 0 + 540 + 0 + 6 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1601671159 + ... + 1601671625.

It is an arithmetic number, because the mean of its divisors is an integer number (4041814140).

Almost surely, 2747980540064 is an apocalyptic number.

747980540064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747980540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164042472320).

747980540064 is an abundant number, since it is smaller than the sum of its proper divisors (1580104404576).

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

747980540064 is a wasteful number, since it uses less digits than its factorization.

747980540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 747980540064 in words is "seven hundred forty-seven billion, nine hundred eighty million, five hundred forty thousand, sixty-four".