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326628120960 = 273251761149367
BaseRepresentation
bin1001100000011001000…
…11011001100110000000
31011020002021102201122100
410300030203121212000
520322413244332320
6410014554110400
732412102135141
oct4601443314600
91136067381570
10326628120960
11116582071739
125337711b400
1324a547657bb
1411b4781dac8
15876a287790
hex4c0c8d9980

326628120960 has 768 divisors, whose sum is σ = 1225287648000. Its totient is φ = 79873966080.

The previous prime is 326628120947. The next prime is 326628120967. The reversal of 326628120960 is 69021826623.

326628120960 is a `hidden beast` number, since 3 + 2 + 6 + 628 + 12 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326628120967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889994697 + ... + 889995063.

It is an arithmetic number, because the mean of its divisors is an integer number (1595426625).

Almost surely, 2326628120960 is an apocalyptic number.

326628120960 is a gapful number since it is divisible by the number (30) 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 326628120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612643824000).

326628120960 is an abundant number, since it is smaller than the sum of its proper divisors (898659527040).

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

326628120960 is a wasteful number, since it uses less digits than its factorization.

326628120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 326628120960 in words is "three hundred twenty-six billion, six hundred twenty-eight million, one hundred twenty thousand, nine hundred sixty".