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1479988039680 = 212375173191
BaseRepresentation
bin10101100010010110001…
…010010101000000000000
312020111002220121020000000
4111202112022111000000
5143222003414232210
63051521440000000
7211632324525633
oct25422612250000
95214086536000
101479988039680
11520728735407
121ba9b9000000
13a9740411a77
14518bb94dc1a
1528770569ac0
hex15896295000

1479988039680 has 832 divisors, whose sum is σ = 5385332183040. Its totient is φ = 390327828480.

The previous prime is 1479988039601. The next prime is 1479988039693. The reversal of 1479988039680 is 869308899741.

1479988039680 is a `hidden beast` number, since 1 + 4 + 79 + 98 + 8 + 0 + 396 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1479988039599 and 1479988039608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7748628385 + ... + 7748628575.

Almost surely, 21479988039680 is an apocalyptic number.

1479988039680 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 1479988039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692666091520).

1479988039680 is an abundant number, since it is smaller than the sum of its proper divisors (3905344143360).

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

1479988039680 is an frugal number, since it uses more digits than its factorization.

1479988039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 1479988039680 in words is "one trillion, four hundred seventy-nine billion, nine hundred eighty-eight million, thirty-nine thousand, six hundred eighty".