Search a number
-
+
450447428820 = 223531823729401
BaseRepresentation
bin1101000111000001100…
…00100100110011010100
31121001200110022021120110
412203200300210303110
524340004020210240
6542533243403020
744354335653654
oct6434060446324
91531613267513
10450447428820
11164040915334
1273371b23470
1333627cb763c
1417b320c2364
15bab56bec80
hex68e0c24cd4

450447428820 has 96 divisors (see below), whose sum is σ = 1302140722176. Its totient is φ = 116226432000.

The previous prime is 450447428803. The next prime is 450447428861. The reversal of 450447428820 is 28824744054.

It is a super-2 number, since 2×4504474288202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450447428820.

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, 15306120 + ... + 15335520.

It is an arithmetic number, because the mean of its divisors is an integer number (13563965856).

Almost surely, 2450447428820 is an apocalyptic number.

It is an amenable number.

450447428820 is an abundant number, since it is smaller than the sum of its proper divisors (851693293356).

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

450447428820 is a wasteful number, since it uses less digits than its factorization.

450447428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37681 (or 37679 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 48.

The spelling of 450447428820 in words is "four hundred fifty billion, four hundred forty-seven million, four hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 8237 16474 24711 29401 32948 41185 49422 58802 82370 88203 98844 117604 123555 147005 164740 176406 247110 255347 294010 352812 441015 494220 510694 588020 766041 882030 911431 1021388 1276735 1532082 1764060 1822862 2553470 2734293 3064164 3645724 3830205 4557155 5106940 5468586 7660410 9114310 10937172 13671465 15320820 18228620 27342930 54685860 242176037 484352074 726528111 968704148 1210880185 1453056222 2421760370 2906112444 3632640555 4843520740 7265281110 7507457147 14530562220 15014914294 22522371441 30029828588 37537285735 45044742882 75074571470 90089485764 112611857205 150149142940 225223714410 450447428820