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67339392252 = 223116734921817
BaseRepresentation
bin111110101101101111…
…011001010011111100
320102210222221120011220
4332231233121103330
52100402341023002
650534004513340
74602506250516
oct765557312374
9212728846156
1067339392252
11266163710a0
12110739ab850
136472173c42
14338b518bb6
151b41c5c7bc
hexfadbd94fc

67339392252 has 96 divisors (see below), whose sum is σ = 174474182400. Its totient is φ = 20042795520.

The previous prime is 67339392209. The next prime is 67339392271. The reversal of 67339392252 is 25229393376.

It is a junction number, because it is equal to n+sod(n) for n = 67339392195 and 67339392204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075648 + ... + 3097464.

It is an arithmetic number, because the mean of its divisors is an integer number (1817439400).

Almost surely, 267339392252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67339392252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87237091200).

67339392252 is an abundant number, since it is smaller than the sum of its proper divisors (107134790148).

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

67339392252 is a wasteful number, since it uses less digits than its factorization.

67339392252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22251 (or 22249 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 51.

The spelling of 67339392252 in words is "sixty-seven billion, three hundred thirty-nine million, three hundred ninety-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 349 402 698 737 804 1047 1396 1474 2094 2211 2948 3839 4188 4422 7678 8844 11517 15356 21817 23034 23383 43634 46068 46766 65451 70149 87268 93532 130902 140298 239987 257213 261804 280596 479974 514426 719961 771639 959948 1028852 1439922 1461739 1543278 2879844 2923478 3086556 4385217 5846956 7614133 8770434 15228266 16079129 17540868 22842399 30456532 32158258 45684798 48237387 64316516 83755463 91369596 96474774 167510926 192949548 251266389 335021852 502532778 510146911 1005065556 1020293822 1530440733 2040587644 3060881466 5611616021 6121762932 11223232042 16834848063 22446464084 33669696126 67339392252