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720042820740 = 22365404912197
BaseRepresentation
bin10100111101001011110…
…01011000010010000100
32112211120000121012000000
422132211321120102010
543244121430230430
61310441052321300
7103010221664145
oct12364571302204
92484500535000
10720042820740
11258406445561
12b7670a73230
1352b90988299
1426bc9175acc
1513ae3980e60
hexa7a5e58484

720042820740 has 168 divisors, whose sum is σ = 2267843621400. Its totient is φ = 191948258304.

The previous prime is 720042820699. The next prime is 720042820741. The reversal of 720042820740 is 47028240027.

720042820740 is a `hidden beast` number, since 7 + 20 + 0 + 428 + 207 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61140474756 + 658902345984 = 247266^2 + 811728^2 .

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 = 720042820695 and 720042820704.

It is not an unprimeable number, because it can be changed into a prime (720042820741) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 59028322 + ... + 59040518.

It is an arithmetic number, because the mean of its divisors is an integer number (13499069175).

Almost surely, 2720042820740 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 720042820740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133921810700).

720042820740 is an abundant number, since it is smaller than the sum of its proper divisors (1547800800660).

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

720042820740 is a wasteful number, since it uses less digits than its factorization.

720042820740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 720042820740 in words is "seven hundred twenty billion, forty-two million, eight hundred twenty thousand, seven hundred forty".