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1218680064 = 28327194197
BaseRepresentation
bin100100010100011…
…1001010100000000
310010221011100202200
41020220321110000
54443440230224
6320532313200
742125416050
oct11050712400
93127140680
101218680064
11575a05408
122a0172800
13165634b84
14b7bd3560
1571eca5c9
hex48a39500

1218680064 has 432 divisors, whose sum is σ = 4374814080. Its totient is φ = 318504960.

The previous prime is 1218680053. The next prime is 1218680069. The reversal of 1218680064 is 4600868121.

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 (1218680069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12563664 + ... + 12563760.

Almost surely, 21218680064 is an apocalyptic number.

1218680064 is a gapful number since it is divisible by the number (14) 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 1218680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187407040).

1218680064 is an abundant number, since it is smaller than the sum of its proper divisors (3156134016).

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

1218680064 is a wasteful number, since it uses less digits than its factorization.

1218680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1218680064 is about 34909.5984508559. The cubic root of 1218680064 is about 1068.1442383989.

The spelling of 1218680064 in words is "one billion, two hundred eighteen million, six hundred eighty thousand, sixty-four".