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1385809927488 = 2632731103310733
BaseRepresentation
bin10100001010101000101…
…101010101110101000000
311220111000110212102102200
4110022220231111311000
5140201114320134423
62540344324113200
7202056443012160
oct24125055256500
94814013772380
101385809927488
1149479a637838
121a46b4b35800
13a08b1b0856c
144b105bb65a0
15260ac4d3d43
hex142a8b55d40

1385809927488 has 336 divisors, whose sum is σ = 4691040347136. Its totient is φ = 382766653440.

The previous prime is 1385809927441. The next prime is 1385809927499. The reversal of 1385809927488 is 8847299085831.

1385809927488 is a `hidden beast` number, since 1 + 3 + 8 + 58 + 0 + 9 + 92 + 7 + 488 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129111370 + ... + 129122102.

Almost surely, 21385809927488 is an apocalyptic number.

1385809927488 is a gapful number since it is divisible by the number (18) 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 1385809927488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345520173568).

1385809927488 is an abundant number, since it is smaller than the sum of its proper divisors (3305230419648).

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

1385809927488 is a wasteful number, since it uses less digits than its factorization.

1385809927488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 11809 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 1385809927488 in words is "one trillion, three hundred eighty-five billion, eight hundred nine million, nine hundred twenty-seven thousand, four hundred eighty-eight".