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6491197440 = 21234571343
BaseRepresentation
bin1100000101110011…
…11101000000000000
3121202101022222220000
412002321331000000
5101243221304230
62552040520000
7316600160610
oct60271750000
917671288800
106491197440
112831125792
121311a80000
137c5a8b340
14458152a40
1527ed12b60
hex182e7d000

6491197440 has 1040 divisors, whose sum is σ = 29305170048. Its totient is φ = 1337720832.

The previous prime is 6491197439. The next prime is 6491197451. The reversal of 6491197440 is 447911946.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150958059 + ... + 150958101.

Almost surely, 26491197440 is an apocalyptic number.

6491197440 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 6491197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652585024).

6491197440 is an abundant number, since it is smaller than the sum of its proper divisors (22813972608).

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

6491197440 is a wasteful number, since it uses less digits than its factorization.

6491197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6491197440 is about 80567.9678284118. The cubic root of 6491197440 is about 1865.4127451764.

The spelling of 6491197440 in words is "six billion, four hundred ninety-one million, one hundred ninety-seven thousand, four hundred forty".