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5400546816 = 29374311681
BaseRepresentation
bin1010000011110010…
…11100111000000000
3111221101002012111110
411001321130320000
542030014444231
62251520243320
7250554614310
oct50171347000
914841065443
105400546816
112321516835
121068770540
13680b32042
14393369440
152191c7046
hex141e5ce00

5400546816 has 160 divisors (see below), whose sum is σ = 16826565888. Its totient is φ = 1507000320.

The previous prime is 5400546799. The next prime is 5400546829. The reversal of 5400546816 is 6186450045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456496 + ... + 468176.

Almost surely, 25400546816 is an apocalyptic number.

5400546816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413282944).

5400546816 is an abundant number, since it is smaller than the sum of its proper divisors (11426019072).

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

5400546816 is a wasteful number, since it uses less digits than its factorization.

5400546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11736 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5400546816 is about 73488.4128009307. The cubic root of 5400546816 is about 1754.4698594358.

The spelling of 5400546816 in words is "five billion, four hundred million, five hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 512 516 602 672 688 768 896 903 1032 1204 1344 1376 1536 1792 1806 2064 2408 2688 2752 3584 3612 4128 4816 5376 5504 7224 8256 9632 10752 11008 11681 14448 16512 19264 22016 23362 28896 33024 35043 38528 46724 57792 66048 70086 77056 81767 93448 115584 140172 154112 163534 186896 231168 245301 280344 327068 373792 462336 490602 502283 560688 654136 747584 981204 1004566 1121376 1308272 1495168 1506849 1962408 2009132 2242752 2616544 2990336 3013698 3515981 3924816 4018264 4485504 5233088 5980672 6027396 7031962 7849632 8036528 8971008 10466176 10547943 12054792 14063924 15699264 16073056 17942016 20932352 21095886 24109584 28127848 31398528 32146112 41864704 42191772 48219168 56255696 62797056 64292224 84383544 96438336 112511392 125594112 128584448 168767088 192876672 225022784 257168896 337534176 385753344 450045568 675068352 771506688 900091136 1350136704 1800182272 2700273408 5400546816