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104666353203440 = 24572194399533359
BaseRepresentation
bin10111110011000110001000…
…110011010111100011110000
3111201121000011010010021011102
4113303012020303113203300
5102204323142410002230
61010335020414303532
731021615543005200
oct2763061063274360
9451530133107142
10104666353203440
1130393829812156
12b8a5059ab7ba8
134652cc1630122
141bbbc4295a400
15c1792a9a1045
hex5f3188cd78f0

104666353203440 has 480 divisors, whose sum is σ = 299059858944000. Its totient is φ = 33873769230336.

The previous prime is 104666353203407. The next prime is 104666353203443. The reversal of 104666353203440 is 44302353666401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104666353203443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31159972481 + ... + 31159975839.

It is an arithmetic number, because the mean of its divisors is an integer number (623041372800).

Almost surely, 2104666353203440 is an apocalyptic number.

104666353203440 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 104666353203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149529929472000).

104666353203440 is an abundant number, since it is smaller than the sum of its proper divisors (194393505740560).

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

104666353203440 is a wasteful number, since it uses less digits than its factorization.

104666353203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

The spelling of 104666353203440 in words is "one hundred four trillion, six hundred sixty-six billion, three hundred fifty-three million, two hundred three thousand, four hundred forty".