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450290648820 = 223583127711967
BaseRepresentation
bin1101000110101110110…
…10100000011011110100
31121001021112022000211210
412203113122200123310
524334143401230240
6542505523201420
744350423235265
oct6432732403364
91531245260753
10450290648820
11163a70372191
1273329516270
13336016836cc
1417b1935096c
15baa6a51780
hex68d76a06f4

450290648820 has 96 divisors (see below), whose sum is σ = 1286053429248. Its totient is φ = 117696523392.

The previous prime is 450290648813. The next prime is 450290648839. The reversal of 450290648820 is 28846092054.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 450290648820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276477 + ... + 988443.

It is an arithmetic number, because the mean of its divisors is an integer number (13396389888).

Almost surely, 2450290648820 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 450290648820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643026714624).

450290648820 is an abundant number, since it is smaller than the sum of its proper divisors (835762780428).

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

450290648820 is a wasteful number, since it uses less digits than its factorization.

450290648820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712189 (or 712187 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 450290648820 in words is "four hundred fifty billion, two hundred ninety million, six hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 127 166 249 254 332 381 415 498 508 635 762 830 996 1245 1270 1524 1660 1905 2490 2540 3810 4980 7620 10541 21082 31623 42164 52705 63246 105410 126492 158115 210820 316230 632460 711967 1423934 2135901 2847868 3559835 4271802 7119670 8543604 10679505 14239340 21359010 42718020 59093261 90419809 118186522 177279783 180839618 236373044 271259427 295466305 354559566 361679236 452099045 542518854 590932610 709119132 886398915 904198090 1085037708 1181865220 1356297135 1772797830 1808396180 2712594270 3545595660 5425188540 7504844147 15009688294 22514532441 30019376588 37524220735 45029064882 75048441470 90058129764 112572662205 150096882940 225145324410 450290648820