Search a number
-
+
20314752507 = 3372331233647
BaseRepresentation
bin10010111010110110…
…101000010111111011
31221102202210100112000
4102322312220113323
5313101034040012
613155451352043
71316263355460
oct227266502773
957382710460
1020314752507
11868516a265
123b2b452623
131bb996c51a
14daa019667
157dd6e0ddc
hex4bada85fb

20314752507 has 128 divisors (see below), whose sum is σ = 37265080320. Its totient is φ = 10682876160.

The previous prime is 20314752499. The next prime is 20314752511. The reversal of 20314752507 is 70525741302.

20314752507 is a `hidden beast` number, since 2 + 0 + 3 + 147 + 5 + 2 + 507 = 666.

It is not a de Polignac number, because 20314752507 - 23 = 20314752499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20314752527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31398058 + ... + 31398704.

It is an arithmetic number, because the mean of its divisors is an integer number (291133440).

Almost surely, 220314752507 is an apocalyptic number.

20314752507 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20314752507 is a deficient number, since it is larger than the sum of its proper divisors (16950327813).

20314752507 is a wasteful number, since it uses less digits than its factorization.

20314752507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 20314752507 in words is "twenty billion, three hundred fourteen million, seven hundred fifty-two thousand, five hundred seven".

Divisors: 1 3 7 9 21 23 27 31 63 69 93 161 189 207 217 233 279 483 621 647 651 699 713 837 1449 1631 1941 1953 2097 2139 4347 4529 4893 4991 5359 5823 5859 6291 6417 7223 13587 14679 14881 14973 16077 17469 19251 20057 21669 37513 40761 44037 44643 44919 48231 50561 60171 65007 104167 112539 122283 133929 134757 140399 144693 150751 151683 166129 180513 195021 312501 337617 401787 421197 452253 455049 461311 498387 541539 937503 1012851 1055257 1162903 1263591 1356759 1365147 1383933 1495161 2812509 3165771 3229177 3467273 3488709 3790773 4070277 4151799 4485483 4673281 9497313 9687531 10401819 10466127 12455397 14019843 24270911 28491939 29062593 31205457 31398381 32712967 42059529 72812733 87187779 93616371 98138901 107485463 126178587 218438199 294416703 322456389 655314597 752398241 883250109 967369167 2257194723 2902107501 6771584169 20314752507