Search a number
-
+
468485731791 = 3271117311282781
BaseRepresentation
bin1101101000100111110…
…11001111010111001111
31122210020120120000101200
412310103323033113033
530133424321404131
6555115215040543
745563341005360
oct6642373172717
91583216500350
10468485731791
11170757a89340
1276966b10153
13352411391ac
1418963a3db67
15c2be0e22e6
hex6d13ecf5cf

468485731791 has 96 divisors (see below), whose sum is σ = 922125275136. Its totient is φ = 221664384000.

The previous prime is 468485731751. The next prime is 468485731799. The reversal of 468485731791 is 197137584864.

468485731791 is a `hidden beast` number, since 4 + 6 + 8 + 48 + 573 + 17 + 9 + 1 = 666.

It is not a de Polignac number, because 468485731791 - 217 = 468485600719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468485731799) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276180 + ... + 1006601.

It is an arithmetic number, because the mean of its divisors is an integer number (9605471616).

Almost surely, 2468485731791 is an apocalyptic number.

468485731791 is a deficient number, since it is larger than the sum of its proper divisors (453639543345).

468485731791 is a wasteful number, since it uses less digits than its factorization.

468485731791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282853 (or 1282850 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 468485731791 in words is "four hundred sixty-eight billion, four hundred eighty-five million, seven hundred thirty-one thousand, seven hundred ninety-one".

Divisors: 1 3 7 9 11 17 21 31 33 51 63 77 93 99 119 153 187 217 231 279 341 357 527 561 651 693 1023 1071 1309 1581 1683 1953 2387 3069 3689 3927 4743 5797 7161 11067 11781 17391 21483 33201 40579 52173 121737 365211 1282781 3848343 8979467 11545029 14110591 21807277 26938401 39766211 42331773 65421831 80815203 98774137 119298633 126995319 152650939 196265493 239880047 278363477 296322411 357895899 437428321 457952817 676025587 719640141 835090431 888967233 1312284963 1373858451 1679160329 2028076761 2158920423 2505271293 3061998247 3936854889 4732179109 5037480987 6084230283 7436281457 9185994741 14196537327 15112442961 22308844371 27557984223 42589611981 52053970199 66926533113 156161910597 468485731791