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1330912255680 = 263257521126713
BaseRepresentation
bin10011010111100000100…
…011010101111011000000
311201020022120012202010200
4103113200203111323000
5133301202014140210
62455225044325200
7165104150341650
oct23274043257300
94636276182120
101330912255680
114734892a9437
12195b339a3800
13986734873a7
14485b8c20360
1524947b9c0c0
hex135e08d5ec0

1330912255680 has 336 divisors, whose sum is σ = 5241835819584. Its totient is φ = 303622225920.

The previous prime is 1330912255637. The next prime is 1330912255781. The reversal of 1330912255680 is 865522190331.

1330912255680 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 9 + 12 + 2 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10440004 + ... + 10566716.

It is an arithmetic number, because the mean of its divisors is an integer number (15600701844).

Almost surely, 21330912255680 is an apocalyptic number.

1330912255680 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 1330912255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620917909792).

1330912255680 is an abundant number, since it is smaller than the sum of its proper divisors (3910923563904).

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

1330912255680 is a wasteful number, since it uses less digits than its factorization.

1330912255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127264 (or 127251 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1330912255680 in words is "one trillion, three hundred thirty billion, nine hundred twelve million, two hundred fifty-five thousand, six hundred eighty".