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1069011664 = 24723218043
BaseRepresentation
bin111111101101111…
…101001011010000
32202111112102022121
4333231331023100
54142131333124
6254024344024
735330310040
oct7755751320
92674472277
101069011664
114a947a316
1225a015014
13140620ba6
14a1d93720
1563cb42e4
hex3fb7d2d0

1069011664 has 60 divisors (see below), whose sum is σ = 2474626336. Its totient is φ = 438204096.

The previous prime is 1069011661. The next prime is 1069011673. The reversal of 1069011664 is 4661109601.

It is a happy number.

It is a super-2 number, since 2×10690116642 = 2285571875536097792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069011661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50227 + ... + 68269.

Almost surely, 21069011664 is an apocalyptic number.

1069011664 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 1069011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237313168).

1069011664 is an abundant number, since it is smaller than the sum of its proper divisors (1405614672).

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

1069011664 is a wasteful number, since it uses less digits than its factorization.

1069011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18104 (or 18075 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1069011664 is about 32695.7438208706. The cubic root of 1069011664 is about 1022.4941091596.

The spelling of 1069011664 in words is "one billion, sixty-nine million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 529 644 1058 1288 2116 2576 3703 4232 7406 8464 14812 18043 29624 36086 59248 72172 126301 144344 252602 288688 414989 505204 829978 1010408 1659956 2020816 2904923 3319912 5809846 6639824 9544747 11619692 19089494 23239384 38178988 46478768 66813229 76357976 133626458 152715952 267252916 534505832 1069011664