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1379061801432 = 2333747137141649
BaseRepresentation
bin10100000100010110011…
…111010010000111011000
311212211121012002002202000
4110010112133102013120
5140043304310121212
62533310544241000
7201430302621240
oct24042637220730
94784535062660
101379061801432
11491947486857
121a3331010160
13a0077a4cc73
144aa658a2b20
1525d14d6e1dc
hex141167d21d8

1379061801432 has 256 divisors, whose sum is σ = 4503790080000. Its totient is φ = 382816751616.

The previous prime is 1379061801431. The next prime is 1379061801581. The reversal of 1379061801432 is 2341081609731.

1379061801432 is a `hidden beast` number, since 1 + 37 + 9 + 0 + 6 + 180 + 1 + 432 = 666.

It is a super-2 number, since 2×13790618014322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379061801431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9664944 + ... + 9806592.

It is an arithmetic number, because the mean of its divisors is an integer number (17592930000).

Almost surely, 21379061801432 is an apocalyptic number.

1379061801432 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 1379061801432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251895040000).

1379061801432 is an abundant number, since it is smaller than the sum of its proper divisors (3124728278568).

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

1379061801432 is a wasteful number, since it uses less digits than its factorization.

1379061801432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141855 (or 141845 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1379061801432 in words is "one trillion, three hundred seventy-nine billion, sixty-one million, eight hundred one thousand, four hundred thirty-two".