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6140648880 = 243551721093
BaseRepresentation
bin1011011100000001…
…01101110110110000
3120211221201021200000
411232000231312300
5100034001231010
62453155230000
7305112440262
oct55600556660
916757637600
106140648880
112671266433
1212345a8300
1376b272562
14423781b32
1525e16b7c0
hex16e02ddb0

6140648880 has 360 divisors, whose sum is σ = 22738930032. Its totient is φ = 1539772416.

The previous prime is 6140648851. The next prime is 6140648903. The reversal of 6140648880 is 888460416.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5617614 + ... + 5618706.

Almost surely, 26140648880 is an apocalyptic number.

6140648880 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 6140648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369465016).

6140648880 is an abundant number, since it is smaller than the sum of its proper divisors (16598281152).

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

6140648880 is a wasteful number, since it uses less digits than its factorization.

6140648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6140648880 is about 78362.2924626379. The cubic root of 6140648880 is about 1831.2097349221.

The spelling of 6140648880 in words is "six billion, one hundred forty million, six hundred forty-eight thousand, eight hundred eighty".