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1014768018 = 2321115133941
BaseRepresentation
bin111100011111000…
…010000110010010
32121201110120000200
4330133002012102
54034240034033
6244410000030
734101246225
oct7437020622
92551416020
101014768018
114808a0260
12243a16016
1313230b064
1498ab35bc
155e14c013
hex3c7c2192

1014768018 has 48 divisors (see below), whose sum is σ = 2414498112. Its totient is φ = 305460000.

The previous prime is 1014767989. The next prime is 1014768019. The reversal of 1014768018 is 8108674101.

1014768018 is a `hidden beast` number, since 101 + 476 + 80 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1014768019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12928 + ... + 46868.

It is an arithmetic number, because the mean of its divisors is an integer number (50302044).

Almost surely, 21014768018 is an apocalyptic number.

1014768018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014768018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207249056).

1014768018 is an abundant number, since it is smaller than the sum of its proper divisors (1399730094).

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

1014768018 is a wasteful number, since it uses less digits than its factorization.

1014768018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34111 (or 34108 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1014768018 is about 31855.4236826321. The cubic root of 1014768018 is about 1004.8986368402.

The spelling of 1014768018 in words is "one billion, fourteen million, seven hundred sixty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 2718 3322 4983 9966 14949 29898 33941 67882 101823 203646 305469 373351 610938 746702 1120053 2240106 3360159 5125091 6720318 10250182 15375273 30750546 46125819 56376001 92251638 112752002 169128003 338256006 507384009 1014768018