Search a number
-
+
750413220480 = 2733572112331113
BaseRepresentation
bin10101110101110000001…
…11010000101010000000
32122201221120212100022000
422322320013100222000
544243321241023410
61332422435344000
7105133640062500
oct12727007205200
92581846770260
10750413220480
1126a280777380
12101527a52000
13559c09c9911
142846a87ba00
15147bed72dc0
hexaeb81d0a80

750413220480 has 3072 divisors, whose sum is σ = 3664996761600. Its totient is φ = 143061811200.

The previous prime is 750413220433. The next prime is 750413220547. The reversal of 750413220480 is 84022314057.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6640824904 + ... + 6640825016.

It is an arithmetic number, because the mean of its divisors is an integer number (1193032800).

Almost surely, 2750413220480 is an apocalyptic number.

750413220480 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 750413220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832498380800).

750413220480 is an abundant number, since it is smaller than the sum of its proper divisors (2914583541120).

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

750413220480 is a wasteful number, since it uses less digits than its factorization.

750413220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 750413220480 in words is "seven hundred fifty billion, four hundred thirteen million, two hundred twenty thousand, four hundred eighty".