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747052052040 = 23365733111057
BaseRepresentation
bin10101101111011111100…
…01011010111001001000
32122102021100020022000000
422313233301122321020
544214430311131130
61331105130043000
7104654434445550
oct12675761327110
92572240208000
10747052052040
11268906453818
1210094a279460
13555a654b858
142822c2dc160
1514674c3b260
hexadefc5ae48

747052052040 has 448 divisors, whose sum is σ = 2889131621760. Its totient is φ = 170223482880.

The previous prime is 747052051997. The next prime is 747052052057. The reversal of 747052052040 is 40250250747.

It is a happy number.

747052052040 is a `hidden beast` number, since 7 + 4 + 70 + 5 + 20 + 520 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 747052051986 and 747052052004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67558192 + ... + 67569248.

Almost surely, 2747052052040 is an apocalyptic number.

747052052040 is a gapful number since it is divisible by the number (70) 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 747052052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444565810880).

747052052040 is an abundant number, since it is smaller than the sum of its proper divisors (2142079569720).

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

747052052040 is a wasteful number, since it uses less digits than its factorization.

747052052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11424 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 747052052040 in words is "seven hundred forty-seven billion, fifty-two million, fifty-two thousand, forty".