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1661509314480 = 2435109311443461
BaseRepresentation
bin11000001011011001101…
…011000010011110110000
312212211122102220101221210
4120023121223002132300
5204210232341030410
63311141542520120
7231016515102351
oct30133153023660
95784572811853
101661509314480
11590707768894
1222a018136040
13c08ab287002
145a5bb7c9d28
152d3465c1220
hex182d9ac27b0

1661509314480 has 320 divisors, whose sum is σ = 5237754762240. Its totient is φ = 435657830400.

The previous prime is 1661509314469. The next prime is 1661509314523. The reversal of 1661509314480 is 844139051661.

It is a super-2 number, since 2×16615093144802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3604141450 + ... + 3604141910.

It is an arithmetic number, because the mean of its divisors is an integer number (16367983632).

Almost surely, 21661509314480 is an apocalyptic number.

1661509314480 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 1661509314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618877381120).

1661509314480 is an abundant number, since it is smaller than the sum of its proper divisors (3576245447760).

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

1661509314480 is a wasteful number, since it uses less digits than its factorization.

1661509314480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1661509314480 in words is "one trillion, six hundred sixty-one billion, five hundred nine million, three hundred fourteen thousand, four hundred eighty".