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6042661560 = 2335513172997
BaseRepresentation
bin1011010000010101…
…11011001010111000
3120121010100000100000
411220022323022320
544333410132220
62435335113000
7302512530045
oct55012731270
916533300300
106042661560
112620a1a081
121207812760
13753b84bb0
144147561cc
15255763390
hex1682bb2b8

6042661560 has 768 divisors, whose sum is σ = 24271228800. Its totient is φ = 1337720832.

The previous prime is 6042661519. The next prime is 6042661567. The reversal of 6042661560 is 651662406.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042661567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62295432 + ... + 62295528.

Almost surely, 26042661560 is an apocalyptic number.

6042661560 is a gapful number since it is divisible by the number (60) 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 6042661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135614400).

6042661560 is an abundant number, since it is smaller than the sum of its proper divisors (18228567240).

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

6042661560 is a wasteful number, since it uses less digits than its factorization.

6042661560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6042661560 is about 77734.5583379748. The cubic root of 6042661560 is about 1821.4171589201.

The spelling of 6042661560 in words is "six billion, forty-two million, six hundred sixty-one thousand, five hundred sixty".