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1023396371640 = 2333546710092011
BaseRepresentation
bin11101110010001110010…
…11010101110010111000
310121211120020211020202000
432321013023111302320
5113231403432343030
62102050343541000
7133636500426036
oct16710713256270
93554506736660
101023396371640
11365024632225
1214641145a760
13756764c8926
1437765833556
151b94a76e860
hexee472d5cb8

1023396371640 has 256 divisors, whose sum is σ = 3423715776000. Its totient is φ = 271916144640.

The previous prime is 1023396371581. The next prime is 1023396371671. The reversal of 1023396371640 is 461736933201.

1023396371640 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 9 + 637 + 1 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508898235 + ... + 508900245.

It is an arithmetic number, because the mean of its divisors is an integer number (13373889750).

Almost surely, 21023396371640 is an apocalyptic number.

1023396371640 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 1023396371640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711857888000).

1023396371640 is an abundant number, since it is smaller than the sum of its proper divisors (2400319404360).

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

1023396371640 is a wasteful number, since it uses less digits than its factorization.

1023396371640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1023396371640 in words is "one trillion, twenty-three billion, three hundred ninety-six million, three hundred seventy-one thousand, six hundred forty".