Search a number
-
+
152120711600 = 245211132659453
BaseRepresentation
bin1000110110101100011…
…0011101100110110000
3112112122112221211021122
42031223012131212300
54443020400232400
6153514442441412
713663456466624
oct2155306354660
9475575854248
10152120711600
11595721a3170
1225594b03268
1311463a3c5b0
1475112ad184
153e54d88685
hex236b19d9b0

152120711600 has 120 divisors (see below), whose sum is σ = 429363529392. Its totient is φ = 51061478400.

The previous prime is 152120711597. The next prime is 152120711653. The reversal of 152120711600 is 6117021251.

152120711600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 152120711600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272527 + ... + 1386926.

Almost surely, 2152120711600 is an apocalyptic number.

152120711600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152120711600 is an abundant number, since it is smaller than the sum of its proper divisors (277242817792).

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

152120711600 is a wasteful number, since it uses less digits than its factorization.

152120711600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659495 (or 2659484 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 152120711600 its reverse (6117021251), we get a palindrome (158237732851).

The spelling of 152120711600 in words is "one hundred fifty-two billion, one hundred twenty million, seven hundred eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 2659453 5318906 10637812 13297265 21275624 26594530 29253983 34572889 42551248 53189060 58507966 66486325 69145778 106378120 117015932 132972650 138291556 146269915 172864445 212756240 234031864 265945300 276583112 292539830 345728890 380301779 468063728 531890600 553166224 585079660 691457780 731349575 760603558 864322225 1063781200 1170159320 1382915560 1462699150 1521207116 1728644450 1901508895 2340318640 2765831120 2925398300 3042414232 3457288900 3803017790 5850796600 6084828464 6914577800 7606035580 9507544475 11701593200 13829155600 15212071160 19015088950 30424142320 38030177900 76060355800 152120711600