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464420831812632 = 23335968353356241
BaseRepresentation
bin110100110011000110110011…
…0101101001101110000011000
32020220101012100021122102201000
41221212031212231031300120
5441333032330421001012
64323423552413425000
7166552204104313632
oct15146154655156030
92226335307572630
10464420831812632
11124a8485014a942
1244107a50a9b160
1316c1a90934b846
148298134015a52
1538a59b935dddc
hex1a66366b4dc18

464420831812632 has 128 divisors (see below), whose sum is σ = 1313844103008000. Its totient is φ = 151960278919680.

The previous prime is 464420831812627. The next prime is 464420831812633. The reversal of 464420831812632 is 236218138024464.

It is a happy number.

464420831812632 is a `hidden beast` number, since 4 + 6 + 4 + 420 + 8 + 3 + 181 + 2 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464420831812633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17973969 + ... + 35382272.

It is an arithmetic number, because the mean of its divisors is an integer number (10264407054750).

Almost surely, 2464420831812632 is an apocalyptic number.

It is an amenable number.

464420831812632 is an abundant number, since it is smaller than the sum of its proper divisors (849423271195368).

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

464420831812632 is a wasteful number, since it uses less digits than its factorization.

464420831812632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53356998 (or 53356988 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 464420831812632 in words is "four hundred sixty-four trillion, four hundred twenty billion, eight hundred thirty-one million, eight hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 683 708 1062 1366 1416 1593 2049 2124 2732 3186 4098 4248 5464 6147 6372 8196 12294 12744 16392 18441 24588 36882 40297 49176 73764 80594 120891 147528 161188 241782 322376 362673 483564 725346 967128 1088019 1450692 2176038 2901384 4352076 8704152 53356241 106712482 160068723 213424964 320137446 426849928 480206169 640274892 960412338 1280549784 1440618507 1920824676 2881237014 3148018219 3841649352 5762474028 6296036438 9444054657 11524948056 12592072876 18888109314 25184145752 28332163971 36442312603 37776218628 56664327942 72884625206 75552437256 84996491913 109326937809 113328655884 145769250412 169992983826 218653875618 226657311768 291538500824 327980813427 339985967652 437307751236 655961626854 679971935304 874615502472 983942440281 1311923253708 1967884880562 2150096443577 2623846507416 3935769761124 4300192887154 6450289330731 7871539522248 8600385774308 12900578661462 17200771548616 19350867992193 25801157322924 38701735984386 51602314645848 58052603976579 77403471968772 116105207953158 154806943937544 232210415906316 464420831812632