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1021837390668 = 2234172957711087
BaseRepresentation
bin11101101111010100100…
…00010011001101001100
310121200112121022210220000
432313222100103031030
5113220210333000133
62101231533324300
7133553040340023
oct16675220231514
93550477283800
101021837390668
113643a46277a6
12146057336690
1375488525493
14376587798ba
151b8a8974413
hexedea41334c

1021837390668 has 240 divisors, whose sum is σ = 2931286216320. Its totient is φ = 308957773824.

The previous prime is 1021837390657. The next prime is 1021837390669. The reversal of 1021837390668 is 8660937381201.

1021837390668 is a `hidden beast` number, since 1 + 0 + 218 + 37 + 390 + 6 + 6 + 8 = 666.

1021837390668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1021837390669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92159821 + ... + 92170907.

It is an arithmetic number, because the mean of its divisors is an integer number (12213692568).

Almost surely, 21021837390668 is an apocalyptic number.

1021837390668 is a gapful number since it is divisible by the number (18) 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 1021837390668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465643108160).

1021837390668 is an abundant number, since it is smaller than the sum of its proper divisors (1909448825652).

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

1021837390668 is a wasteful number, since it uses less digits than its factorization.

1021837390668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1021837390668 in words is "one trillion, twenty-one billion, eight hundred thirty-seven million, three hundred ninety thousand, six hundred sixty-eight".