Search a number
-
+
147879782960 = 24571343472399
BaseRepresentation
bin1000100110111001010…
…0100110101000110000
3112010200222220022212112
42021232110212220300
54410324211023320
6151533544544452
713453412262320
oct2115624465060
9463628808775
10147879782960
1157796311768
12247b0782128
1310c39233470
14722bd61280
153ca78c1ec5
hex226e526a30

147879782960 has 160 divisors (see below), whose sum is σ = 433005619200. Its totient is φ = 45713009664.

The previous prime is 147879782951. The next prime is 147879782977. The reversal of 147879782960 is 69287978741.

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, 76841 + ... + 549239.

It is an arithmetic number, because the mean of its divisors is an integer number (2706285120).

Almost surely, 2147879782960 is an apocalyptic number.

147879782960 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 147879782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216502809600).

147879782960 is an abundant number, since it is smaller than the sum of its proper divisors (285125836240).

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

147879782960 is a wasteful number, since it uses less digits than its factorization.

147879782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472475 (or 472469 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 68.

The spelling of 147879782960 in words is "one hundred forty-seven billion, eight hundred seventy-nine million, seven hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 43 52 56 65 70 80 86 91 104 112 130 140 172 182 208 215 260 280 301 344 364 430 455 520 559 560 602 688 728 860 910 1040 1118 1204 1456 1505 1720 1820 2236 2408 2795 3010 3440 3640 3913 4472 4816 5590 6020 7280 7826 8944 11180 12040 15652 19565 22360 24080 31304 39130 44720 62608 78260 156520 313040 472399 944798 1889596 2361995 3306793 3779192 4723990 6141187 6613586 7558384 9447980 12282374 13227172 16533965 18895960 20313157 24564748 26454344 30705935 33067930 37791920 40626314 42988309 49129496 52908688 61411870 66135860 81252628 85976618 98258992 101565785 122823740 132271720 142192099 162505256 171953236 203131570 214941545 245647480 264071041 264543440 284384198 325010512 343906472 406263140 429883090 491294960 528142082 568768396 687812944 710960495 812526280 859766180 1056284164 1137536792 1320355205 1421920990 1625052560 1719532360 1848497287 2112568328 2275073584 2640710410 2843841980 3439064720 3696994574 4225136656 5281420820 5687683960 7393989148 9242486435 10562841640 11375367920 14787978296 18484972870 21125683280 29575956592 36969945740 73939891480 147879782960