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3123893136 = 2437131136329
BaseRepresentation
bin1011101000110010…
…1101001110010000
322001201011012202210
42322030231032100
522344204040021
61233551512120
7140261440110
oct27214551620
98051135683
103123893136
1113633a1171
12732228640
133aa2724a0
14218c57040
151343b7e76
hexba32d390

3123893136 has 160 divisors (see below), whose sum is σ = 10021858560. Its totient is φ = 816463872.

The previous prime is 3123893131. The next prime is 3123893153. The reversal of 3123893136 is 6313983213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3123893094 and 3123893103.

It is not an unprimeable number, because it can be changed into a prime (3123893131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490420 + ... + 496748.

It is an arithmetic number, because the mean of its divisors is an integer number (62636616).

Almost surely, 23123893136 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 3123893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010929280).

3123893136 is an abundant number, since it is smaller than the sum of its proper divisors (6897965424).

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

3123893136 is a wasteful number, since it uses less digits than its factorization.

3123893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6467 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 3123893136 is about 55891.7984681116. The cubic root of 3123893136 is about 1461.8362359244.

The spelling of 3123893136 in words is "three billion, one hundred twenty-three million, eight hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 113 156 168 182 208 226 273 312 336 339 364 452 546 624 678 728 791 904 1092 1356 1456 1469 1582 1808 2184 2373 2712 2938 3164 4368 4407 4746 5424 5876 6328 6329 8814 9492 10283 11752 12656 12658 17628 18984 18987 20566 23504 25316 30849 35256 37968 37974 41132 44303 50632 61698 70512 75948 82264 82277 88606 101264 123396 132909 151896 164528 164554 177212 246792 246831 265818 303792 329108 354424 493584 493662 531636 575939 658216 708848 715177 987324 1063272 1151878 1316432 1430354 1727817 1974648 2126544 2145531 2303756 2860708 3455634 3949296 4291062 4607512 5006239 5721416 6911268 8582124 9215024 9297301 10012478 11442832 13822536 15018717 17164248 18594602 20024956 27645072 27891903 30037434 34328496 37189204 40049912 55783806 60074868 65081107 74378408 80099824 111567612 120149736 130162214 148756816 195243321 223135224 240299472 260324428 390486642 446270448 520648856 780973284 1041297712 1561946568 3123893136