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58195864502076 = 22372211346839829
BaseRepresentation
bin11010011101101110001111…
…10101001011111100111100
321122001110200212011021211210
431032313013311023330330
530111440112303031301
6323434451105244420
715154340526301200
oct1516670765137474
9248043625137753
1058195864502076
11175a7800391744
12663a8b9333710
132661b009227c2
1410529a2a22b00
156adc1be5bad6
hex34edc7d4bf3c

58195864502076 has 72 divisors (see below), whose sum is σ = 158034963389520. Its totient is φ = 16619520411648.

The previous prime is 58195864502047. The next prime is 58195864502131. The reversal of 58195864502076 is 67020546859185.

It is a junction number, because it is equal to n+sod(n) for n = 58195864501998 and 58195864502016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22177471 + ... + 24662358.

Almost surely, 258195864502076 is an apocalyptic number.

It is an amenable number.

58195864502076 is an abundant number, since it is smaller than the sum of its proper divisors (99839098887444).

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

58195864502076 is a wasteful number, since it uses less digits than its factorization.

58195864502076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46841963 (or 46841954 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 66.

The spelling of 58195864502076 in words is "fifty-eight trillion, one hundred ninety-five billion, eight hundred sixty-four million, five hundred two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2113 4226 6339 8452 12678 14791 25356 29582 44373 59164 88746 103537 177492 207074 310611 414148 621222 1242444 46839829 93679658 140519487 187359316 281038974 327878803 562077948 655757606 983636409 1311515212 1967272818 2295151621 3934545636 4590303242 6885454863 9180606484 13770909726 27541819452 98972558677 197945117354 296917676031 395890234708 593835352062 692807910739 1187670704124 1385615821478 2078423732217 2771231642956 4156847464434 4849655375173 8313694928868 9699310750346 14548966125519 19398621500692 29097932251038 58195864502076