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54429216468 = 223112272517237
BaseRepresentation
bin110010101100001110…
…111110111011010100
312012111021011200101020
4302230032332323110
51342432334411333
641000543001140
73634543464204
oct625416767324
9165437150336
1054429216468
11210a0967a30
12a6702991b0
135195592183
1428c4a92404
1516386503b3
hexcac3beed4

54429216468 has 96 divisors (see below), whose sum is σ = 139731153408. Its totient is φ = 16353360000.

The previous prime is 54429216461. The next prime is 54429216469. The reversal of 54429216468 is 86461292445.

It is a self number, because there is not a number n which added to its sum of digits gives 54429216468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54429216461) 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, 7517346 + ... + 7524582.

It is an arithmetic number, because the mean of its divisors is an integer number (1455532848).

Almost surely, 254429216468 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 54429216468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69865576704).

54429216468 is an abundant number, since it is smaller than the sum of its proper divisors (85301936940).

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

54429216468 is a wasteful number, since it uses less digits than its factorization.

54429216468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7731 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 54429216468 in words is "fifty-four billion, four hundred twenty-nine million, two hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 251 454 502 681 753 908 1004 1362 1506 2497 2724 2761 3012 4994 5522 7237 7491 8283 9988 11044 14474 14982 16566 21711 28948 29964 33132 43422 56977 79607 86844 113954 159214 170931 227908 238821 318428 341862 477642 626747 683724 955284 1253494 1642799 1816487 1880241 2506988 3285598 3632974 3760482 4928397 5449461 6571196 7265948 7520964 9856794 10898922 18070789 19713588 19981357 21797844 36141578 39962714 54212367 59944071 72283156 79925428 108424734 119888142 216849468 239776284 412342549 824685098 1237027647 1649370196 2474055294 4535768039 4948110588 9071536078 13607304117 18143072156 27214608234 54429216468