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1022396484096 = 29341337107479
BaseRepresentation
bin11101110000010111001…
…01000100101000000000
310121201222120100200220000
432320023211010220000
5113222331444442341
62101403224520000
7133602636504021
oct16701345045000
93551876320800
101022396484096
11364661185989
12146192620000
13755472ca9b0
14376acb14c48
151b8dcab18b6
hexee0b944a00

1022396484096 has 800 divisors, whose sum is σ = 3413796503040. Its totient is φ = 302587674624.

The previous prime is 1022396484077. The next prime is 1022396484181. The reversal of 1022396484096 is 6904846932201.

1022396484096 is a `hidden beast` number, since 1 + 0 + 223 + 9 + 6 + 4 + 8 + 409 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2134439185 + ... + 2134439663.

Almost surely, 21022396484096 is an apocalyptic number.

1022396484096 is a gapful number since it is divisible by the number (16) 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 1022396484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706898251520).

1022396484096 is an abundant number, since it is smaller than the sum of its proper divisors (2391400018944).

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

1022396484096 is a wasteful number, since it uses less digits than its factorization.

1022396484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1022396484096 in words is "one trillion, twenty-two billion, three hundred ninety-six million, four hundred eighty-four thousand, ninety-six".