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2046472375680 = 273254773103553
BaseRepresentation
bin11101110001111011010…
…000100100110110000000
321020122022011211010202100
4131301323100210312000
5232012133412010210
64204045245150400
7300565331115555
oct35617320446600
97218264733670
102046472375680
117199a4339537
1229075355b400
1311ac9b514c15
147109a8b0a2c
1538377d0a5c0
hex1dc7b424d80

2046472375680 has 384 divisors, whose sum is σ = 7316015541120. Its totient is φ = 526793048064.

The previous prime is 2046472375631. The next prime is 2046472375681. The reversal of 2046472375680 is 865732746402.

2046472375680 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 4 + 72 + 3 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046472375681) by changing a digit.

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, 19710784 + ... + 19814336.

It is an arithmetic number, because the mean of its divisors is an integer number (19052123805).

Almost surely, 22046472375680 is an apocalyptic number.

2046472375680 is a gapful number since it is divisible by the number (20) 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 2046472375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658007770560).

2046472375680 is an abundant number, since it is smaller than the sum of its proper divisors (5269543165440).

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

2046472375680 is a wasteful number, since it uses less digits than its factorization.

2046472375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103698 (or 103683 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2046472375680 in words is "two trillion, forty-six billion, four hundred seventy-two million, three hundred seventy-five thousand, six hundred eighty".