Search a number
-
+
12732893700 = 22352192977029
BaseRepresentation
bin10111101101111000…
…01000101000000100
31012212101012000111120
423312330020220010
5202034110044300
65503250033540
7630350545032
oct136674105004
935771160446
1012732893700
11544442854a
1225742788b0
13127bc50037
1488b0b9552
154e7c8e3a0
hex2f6f08a04

12732893700 has 144 divisors (see below), whose sum is σ = 40117224000. Its totient is φ = 3105768960.

The previous prime is 12732893687. The next prime is 12732893707. The reversal of 12732893700 is 739823721.

It is not an unprimeable number, because it can be changed into a prime (12732893707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126786 + ... + 203814.

Almost surely, 212732893700 is an apocalyptic number.

12732893700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12732893700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058612000).

12732893700 is an abundant number, since it is smaller than the sum of its proper divisors (27384330300).

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

12732893700 is a wasteful number, since it uses less digits than its factorization.

12732893700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77094 (or 77087 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 12732893700 in words is "twelve billion, seven hundred thirty-two million, eight hundred ninety-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 29 30 38 50 57 58 60 75 76 87 95 100 114 116 145 150 174 190 228 285 290 300 348 380 435 475 551 570 580 725 870 950 1102 1140 1425 1450 1653 1740 1900 2175 2204 2755 2850 2900 3306 4350 5510 5700 6612 8265 8700 11020 13775 16530 27550 33060 41325 55100 77029 82650 154058 165300 231087 308116 385145 462174 770290 924348 1155435 1463551 1540580 1925725 2233841 2310870 2927102 3851450 4390653 4467682 4621740 5777175 5854204 6701523 7317755 7702900 8781306 8935364 11169205 11554350 13403046 14635510 17562612 21953265 22338410 23108700 26806092 29271020 33507615 36588775 42442979 43906530 44676820 55846025 67015230 73177550 84885958 87813060 109766325 111692050 127328937 134030460 146355100 167538075 169771916 212214895 219532650 223384100 254657874 335076150 424429790 439065300 509315748 636644685 670152300 848859580 1061074475 1273289370 2122148950 2546578740 3183223425 4244297900 6366446850 12732893700