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472295592272 = 24789191359691
BaseRepresentation
bin1101101111101110000…
…00101101000101010000
31200011002002110222110102
412313313000231011100
530214230132423042
61000545233351532
746056632203340
oct6676700550520
91604062428412
10472295592272
11172332604969
127764aa085a8
13356ca5467ca
1418c05a1ad20
15c443809b32
hex6df702d150

472295592272 has 160 divisors (see below), whose sum is σ = 1067588812800. Its totient is φ = 198248371200.

The previous prime is 472295592259. The next prime is 472295592299. The reversal of 472295592272 is 272295592274.

It is a super-2 number, since 2×4722955922722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 683495447 + ... + 683496137.

It is an arithmetic number, because the mean of its divisors is an integer number (6672430080).

Almost surely, 2472295592272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472295592272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533794406400).

472295592272 is an abundant number, since it is smaller than the sum of its proper divisors (595293220528).

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

472295592272 is a wasteful number, since it uses less digits than its factorization.

472295592272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1339 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 56.

The spelling of 472295592272 in words is "four hundred seventy-two billion, two hundred ninety-five million, five hundred ninety-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 191 356 359 382 623 691 712 718 764 1246 1337 1382 1424 1436 1528 2492 2513 2674 2764 2872 3056 4837 4984 5026 5348 5528 5744 9674 9968 10052 10696 11056 16999 19348 20104 21392 31951 33998 38696 40208 61499 63902 67996 68569 77392 118993 122998 127804 131981 135992 137138 223657 237986 245996 248069 255608 263962 271984 274276 430493 447314 475972 479983 491992 496138 511216 527924 548552 860986 894628 923867 951944 959966 983984 992276 1055848 1097104 1721972 1736483 1789256 1847734 1903888 1919932 1984552 2111696 3443944 3472966 3578512 3695468 3839864 3969104 6102641 6887888 6945932 7390936 7679728 11746309 12205282 13891864 14781872 22078141 23492618 24410564 27783728 42718487 44156282 46985236 47381179 48821128 82224163 85436974 88312564 93970472 94762358 97642256 154546987 164448326 170873948 176625128 187940944 189524716 309093974 328896652 331668253 341747896 353250256 379049432 618187948 657793304 663336506 683495792 758098864 1236375896 1315586608 1326673012 2472751792 2653346024 4216924931 5306692048 8433849862 16867699724 29518474517 33735399448 59036949034 67470798896 118073898068 236147796136 472295592272