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1076484323250 = 233537172312543
BaseRepresentation
bin11111010101000110111…
…01110011011110110010
310210220121001011121122000
433222203131303132302
5120114114441321000
62142310254554430
7140526166526130
oct17524335633662
93726531147560
101076484323250
11385597377aa6
12154768508a16
137a686c3564b
143a160302750
151d00627d000
hexfaa37737b2

1076484323250 has 768 divisors, whose sum is σ = 3742840258560. Its totient is φ = 224021376000.

The previous prime is 1076484323231. The next prime is 1076484323339. The reversal of 1076484323250 is 523234846701.

1076484323250 is a `hidden beast` number, since 1 + 0 + 76 + 4 + 8 + 4 + 323 + 250 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1076484323196 and 1076484323205.

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, 423311479 + ... + 423314021.

It is an arithmetic number, because the mean of its divisors is an integer number (4873489920).

Almost surely, 21076484323250 is an apocalyptic number.

1076484323250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076484323250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871420129280).

1076484323250 is an abundant number, since it is smaller than the sum of its proper divisors (2666355935310).

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

1076484323250 is a wasteful number, since it uses less digits than its factorization.

1076484323250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1076484323250 in words is "one trillion, seventy-six billion, four hundred eighty-four million, three hundred twenty-three thousand, two hundred fifty".