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1001397783840 = 253523127714223
BaseRepresentation
bin11101001001001111111…
…01011000110100100000
310112201210010121012102220
432210213331120310200
5112401330313040330
62044011421511040
7132230366501406
oct16444775306440
93481703535386
101001397783840
11356765a40653
121420b2112480
137357ba4c67c
1436679d3d476
151b0ae31e710
hexe927f58d20

1001397783840 has 192 divisors, whose sum is σ = 3317473345536. Its totient is φ = 253417393152.

The previous prime is 1001397783829. The next prime is 1001397783887. The reversal of 1001397783840 is 483877931001.

1001397783840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044969 + ... + 1759191.

It is an arithmetic number, because the mean of its divisors is an integer number (17278507008).

Almost surely, 21001397783840 is an apocalyptic number.

1001397783840 is a gapful number since it is divisible by the number (10) 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 1001397783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658736672768).

1001397783840 is an abundant number, since it is smaller than the sum of its proper divisors (2316075561696).

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

1001397783840 is a wasteful number, since it uses less digits than its factorization.

1001397783840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714391 (or 714383 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1001397783840 in words is "one trillion, one billion, three hundred ninety-seven million, seven hundred eighty-three thousand, eight hundred forty".