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1218008064 = 21037134357
BaseRepresentation
bin100100010011001…
…0101010000000000
310010212220012221210
41020212111100000
54443302224224
6320510050120
742116616630
oct11046252000
93125805853
101218008064
11575596539
1229baa9940
1316545b040
14b7a9a6c0
1571de6429
hex48995400

1218008064 has 176 divisors, whose sum is σ = 3996530048. Its totient is φ = 321159168.

The previous prime is 1218008047. The next prime is 1218008087. The reversal of 1218008064 is 4608008121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277374 + ... + 281730.

Almost surely, 21218008064 is an apocalyptic number.

1218008064 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 1218008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998265024).

1218008064 is an abundant number, since it is smaller than the sum of its proper divisors (2778521984).

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

1218008064 is a wasteful number, since it uses less digits than its factorization.

1218008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1218008064 is about 34899.9722635993. The cubic root of 1218008064 is about 1067.9478716018.

The spelling of 1218008064 in words is "one billion, two hundred eighteen million, eight thousand, sixty-four".