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674040000067 = 729101279111779
BaseRepresentation
bin10011100111011111110…
…10100010111001000011
32101102211000011202120221
421303233322202321003
542020413220000232
61233352200243511
766461224316350
oct11635772427103
92342730152527
10674040000067
1123a94a00a4a5
12aa772770597
134b73c090135
14248a3663627
15127eeea5897
hex9cefea2e43

674040000067 has 32 divisors (see below), whose sum is σ = 805141324800. Its totient is φ = 552058416000.

The previous prime is 674040000061. The next prime is 674040000091. The reversal of 674040000067 is 760000040476.

It is a de Polignac number, because none of the positive numbers 2k-674040000067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 674039999987 and 674040000041.

It is not an unprimeable number, because it can be changed into a prime (674040000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57217984 + ... + 57229762.

It is an arithmetic number, because the mean of its divisors is an integer number (25160666400).

Almost surely, 2674040000067 is an apocalyptic number.

674040000067 is a deficient number, since it is larger than the sum of its proper divisors (131101324733).

674040000067 is a wasteful number, since it uses less digits than its factorization.

674040000067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707.

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 674040000067 in words is "six hundred seventy-four billion, forty million, sixty-seven", and thus it is an aban number.

Divisors: 1 7 29 101 203 707 2791 2929 11779 19537 20503 80939 82453 281891 341591 566573 1189679 1973237 2391137 8174839 8327753 32875189 34500691 57223873 230126323 241504837 953380481 3320394089 6673663367 23242758623 96291428581 674040000067