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1476031405056 = 2103131721953127
BaseRepresentation
bin10101011110101010010…
…100111101110000000000
312020002220011111100122220
4111132222110331300000
5143140403014430211
63050025055331040
7211432301635005
oct25365224756000
95202804440586
101476031405056
11519a8828023a
121ba093b20a80
13a925c794950
14516242878ac
15285dd00d806
hex157aa53dc00

1476031405056 has 1056 divisors, whose sum is σ = 4864945397760. Its totient is φ = 394181738496.

The previous prime is 1476031405001. The next prime is 1476031405061. The reversal of 1476031405056 is 6505041306741.

It is a junction number, because it is equal to n+sod(n) for n = 1476031404999 and 1476031405017.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11622294465 + ... + 11622294591.

Almost surely, 21476031405056 is an apocalyptic number.

1476031405056 is a gapful number since it is divisible by the number (16) 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 1476031405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432472698880).

1476031405056 is an abundant number, since it is smaller than the sum of its proper divisors (3388913992704).

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

1476031405056 is a wasteful number, since it uses less digits than its factorization.

1476031405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 1476031405056 in words is "one trillion, four hundred seventy-six billion, thirty-one million, four hundred five thousand, fifty-six".