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1022148999936 = 283483896673
BaseRepresentation
bin11101101111111001101…
…00111111101100000000
310121201100022200012110000
432313330310333230000
5113221330120444221
62101322504240000
7133563543100611
oct16677464775400
93551308605400
101022148999936
11364544510419
12146123770000
1375507c5946c
1437687cd1c08
151b8c5ec7e26
hexedfcd3fb00

1022148999936 has 360 divisors, whose sum is σ = 3119710310640. Its totient is φ = 332779290624.

The previous prime is 1022148999917. The next prime is 1022148999943. The reversal of 1022148999936 is 6399998412201.

1022148999936 is a `hidden beast` number, since 10 + 2 + 21 + 489 + 9 + 99 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153173496 + ... + 153180168.

It is an arithmetic number, because the mean of its divisors is an integer number (8665861974).

Almost surely, 21022148999936 is an apocalyptic number.

1022148999936 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 1022148999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559855155320).

1022148999936 is an abundant number, since it is smaller than the sum of its proper divisors (2097561310704).

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

1022148999936 is an frugal number, since it uses more digits than its factorization.

1022148999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

It can be divided in two parts, 1022148 and 999936, that added together give a square (2022084 = 14222).

The spelling of 1022148999936 in words is "one trillion, twenty-two billion, one hundred forty-eight million, nine hundred ninety-nine thousand, nine hundred thirty-six".