Search a number
-
+
20265255472 = 24711231136329
BaseRepresentation
bin10010110111111001…
…110100001000110000
31221022022122122100111
4102313321310020300
5313000401133342
613150522431104
71315122554320
oct226771641060
957268578314
1020265255472
11865a232420
123b16962494
131bac62c037
14da3613280
157d91b5217
hex4b7e74230

20265255472 has 160 divisors (see below), whose sum is σ = 51540986880. Its totient is φ = 7484252160.

The previous prime is 20265255463. The next prime is 20265255481. The reversal of 20265255472 is 27455256202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20265255463) and next prime (20265255481).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3198804 + ... + 3205132.

It is an arithmetic number, because the mean of its divisors is an integer number (322131168).

Almost surely, 220265255472 is an apocalyptic number.

20265255472 is a gapful number since it is divisible by the number (22) 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 20265255472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770493440).

20265255472 is an abundant number, since it is smaller than the sum of its proper divisors (31275731408).

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

20265255472 is a wasteful number, since it uses less digits than its factorization.

20265255472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 20265255472 in words is "twenty billion, two hundred sixty-five million, two hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 113 154 161 176 184 226 253 308 322 368 452 506 616 644 791 904 1012 1232 1243 1288 1582 1771 1808 2024 2486 2576 2599 3164 3542 4048 4972 5198 6328 6329 7084 8701 9944 10396 12656 12658 14168 17402 18193 19888 20792 25316 28336 28589 34804 36386 41584 44303 50632 57178 69608 69619 72772 88606 101264 114356 139216 139238 145544 145567 177212 200123 228712 278476 291088 291134 354424 400246 457424 487333 556952 582268 708848 715177 800492 974666 1018969 1113904 1164536 1430354 1600984 1601237 1949332 2037938 2329072 2860708 3201968 3202474 3898664 4075876 5006239 5721416 6404948 7797328 7866947 8151752 10012478 11208659 11442832 12809896 15733894 16303504 16449071 20024956 22417318 25619792 31467788 32898142 40049912 44834636 55068629 62935576 65796284 80099824 89669272 110137258 115143497 125871152 131592568 179338544 180939781 220274516 230286994 263185136 361879562 440549032 460573988 723759124 881098064 921147976 1266578467 1447518248 1842295952 2533156934 2895036496 5066313868 10132627736 20265255472