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5454413316 = 22341123732
BaseRepresentation
bin1010001010001101…
…11011111000000100
3112002010102220110000
411011012323320010
542132312211231
62301123001300
7252110514432
oct50506737004
915063386400
105454413316
112349968500
121082809230
1368c042301
1439a58bd52
1521dcb76e6
hex1451bbe04

5454413316 has 135 divisors (see below), whose sum is σ = 15715152453. Its totient is φ = 1648421280.

The previous prime is 5454413299. The next prime is 5454413317. The reversal of 5454413316 is 6133144545.

The square root of 5454413316 is 73854.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2964802500 + 2489610816 = 54450^2 + 49896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5454413317) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14622906 + ... + 14623278.

Almost surely, 25454413316 is an apocalyptic number.

5454413316 is the 73854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5454413316

5454413316 is an abundant number, since it is smaller than the sum of its proper divisors (10260739137).

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

5454413316 is a wasteful number, since it uses less digits than its factorization.

5454413316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 389 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The cubic root of 5454413316 is about 1760.2837563322.

Multiplying 5454413316 by its sum of digits (36), we get a square (196358879376 = 4431242).

5454413316 divided by its sum of digits (36) gives a square (151511481 = 123092).

The spelling of 5454413316 in words is "five billion, four hundred fifty-four million, four hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 373 396 484 594 726 746 891 1089 1119 1188 1452 1492 1782 2178 2238 3267 3357 3564 4103 4356 4476 6534 6714 8206 9801 10071 12309 13068 13428 16412 19602 20142 24618 30213 36927 39204 40284 45133 49236 60426 73854 90266 110781 120852 135399 139129 147708 180532 221562 270798 278258 332343 406197 417387 443124 541596 556516 664686 812394 834774 1218591 1252161 1329372 1530419 1624788 1669548 2437182 2504322 3060838 3655773 3756483 4591257 4874364 5008644 6121676 7311546 7512966 9182514 11269449 13773771 14623092 15025932 16834609 18365028 22538898 27547542 33669218 41321313 45077796 50503827 55095084 67338436 82642626 101007654 123963939 151511481 165285252 202015308 247927878 303022962 454534443 495855756 606045924 909068886 1363603329 1818137772 2727206658 5454413316