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1068029977 = 753592827
BaseRepresentation
bin111111101010001…
…101100000011001
32202102200112200211
4333222031200121
54141403424402
6253551331121
735316051010
oct7752154031
92672615624
101068029977
114a8969803
12259820aa1
13140369101
14a1bb9a77
1563b6d4d7
hex3fa8d819

1068029977 has 24 divisors (see below), whose sum is σ = 1266601536. Its totient is φ = 881890464.

The previous prime is 1068029939. The next prime is 1068029983. The reversal of 1068029977 is 7799208601.

It is a happy number.

It is not a de Polignac number, because 1068029977 - 211 = 1068027929 is a prime.

It is a super-3 number, since 3×10680299773 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1068029977.

It is not an unprimeable number, because it can be changed into a prime (1068029917) 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, 1291038 + ... + 1291864.

It is an arithmetic number, because the mean of its divisors is an integer number (52775064).

Almost surely, 21068029977 is an apocalyptic number.

It is an amenable number.

1068029977 is a deficient number, since it is larger than the sum of its proper divisors (198571559).

1068029977 is an frugal number, since it uses more digits than its factorization.

1068029977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The square root of 1068029977 is about 32680.7279141698. The cubic root of 1068029977 is about 1022.1810235238.

The spelling of 1068029977 in words is "one billion, sixty-eight million, twenty-nine thousand, nine hundred seventy-seven".

Divisors: 1 7 53 59 371 413 827 3127 3481 5789 21889 24367 43831 48793 184493 306817 341551 1291451 2586029 2878787 18102203 20151509 152575711 1068029977