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1003908713472 = 21032725693907
BaseRepresentation
bin11101001101111011001…
…11110100110000000000
310112222021010100122100200
432212331213310300000
5112422001112312342
62045104515445200
7132346536161100
oct16467547646000
93488233318320
101003908713472
1135783432a205
12142692bb6800
137388c007852
14368375d7200
151b1a99a894c
hexe9bd9f4c00

1003908713472 has 396 divisors, whose sum is σ = 3378823152120. Its totient is φ = 286253678592.

The previous prime is 1003908713441. The next prime is 1003908713497. The reversal of 1003908713472 is 2743178093001.

1003908713472 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 90 + 87 + 13 + 472 = 666.

1003908713472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256949343 + ... + 256953249.

Almost surely, 21003908713472 is an apocalyptic number.

1003908713472 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 1003908713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689411576060).

1003908713472 is an abundant number, since it is smaller than the sum of its proper divisors (2374914438648).

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

1003908713472 is a wasteful number, since it uses less digits than its factorization.

1003908713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1003908713472 in words is "one trillion, three billion, nine hundred eight million, seven hundred thirteen thousand, four hundred seventy-two".