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1064942963172 = 22321117223312421
BaseRepresentation
bin11110111111100111000…
…11000000100111100100
310202210210201001202222100
433133303203000213210
5114422000344310142
62133121131332100
7136640164555044
oct17376343004744
93683721052870
101064942963172
113807045a3390
121524872b1030
1379567b042ba
1439787591724
151ca7ce05b4c
hexf7f38c09e4

1064942963172 has 648 divisors, whose sum is σ = 3371583773376. Its totient is φ = 280482048000.

The previous prime is 1064942963113. The next prime is 1064942963197. The reversal of 1064942963172 is 2713692494601.

1064942963172 is a `hidden beast` number, since 1 + 0 + 6 + 49 + 429 + 6 + 3 + 172 = 666.

It is a super-2 number, since 2×10649429631722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2529555522 + ... + 2529555942.

Almost surely, 21064942963172 is an apocalyptic number.

1064942963172 is a gapful number since it is divisible by the number (12) 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 1064942963172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685791886688).

1064942963172 is an abundant number, since it is smaller than the sum of its proper divisors (2306640810204).

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

1064942963172 is a wasteful number, since it uses less digits than its factorization.

1064942963172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1064942963172 in words is "one trillion, sixty-four billion, nine hundred forty-two million, nine hundred sixty-three thousand, one hundred seventy-two".