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2660387748480 = 2732572114331979
BaseRepresentation
bin100110101101101011011…
…101110111101010000000
3100102022220222220101010100
4212231223131313222000
5322041433230422410
65354055410202400
7363130613514600
oct46555335675200
910368828811110
102660387748480
1193629a589630
1236b726583400
13163b48090a17
1492a98cbcc00
15493096418c0
hex26b6b777a80

2660387748480 has 1152 divisors, whose sum is σ = 11690842363200. Its totient is φ = 551252459520.

The previous prime is 2660387748479. The next prime is 2660387748481. The reversal of 2660387748480 is 848477830662.

2660387748480 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 3 + 8 + 77 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2660387748479) and next prime (2660387748481).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×26603877484803 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2660387748481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1344308131 + ... + 1344310109.

Almost surely, 22660387748480 is an apocalyptic number.

2660387748480 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 2660387748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845421181600).

2660387748480 is an abundant number, since it is smaller than the sum of its proper divisors (9030454614720).

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

2660387748480 is a wasteful number, since it uses less digits than its factorization.

2660387748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 2660387748480 in words is "two trillion, six hundred sixty billion, three hundred eighty-seven million, seven hundred forty-eight thousand, four hundred eighty".