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5415554144 = 2571113169067
BaseRepresentation
bin1010000101100101…
…01100110001100000
3111222102022122200102
411002302230301200
542042340213034
62253214041532
7251126310410
oct50262546140
914872278612
105415554144
112329a36a90
1210717a92a8
13683c87b10
14395354640
1521a68d97e
hex142cacc60

5415554144 has 96 divisors (see below), whose sum is σ = 14315325696. Its totient is φ = 1947640320.

The previous prime is 5415554141. The next prime is 5415554159. The reversal of 5415554144 is 4414555145.

It is a junction number, because it is equal to n+sod(n) for n = 5415554098 and 5415554107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5415554141) by changing a digit.

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, 52502 + ... + 116565.

It is an arithmetic number, because the mean of its divisors is an integer number (149117976).

Almost surely, 25415554144 is an apocalyptic number.

It is an amenable number.

5415554144 is an abundant number, since it is smaller than the sum of its proper divisors (8899771552).

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

5415554144 is a wasteful number, since it uses less digits than its factorization.

5415554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169108 (or 169100 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

The square root of 5415554144 is about 73590.4487280788. The cubic root of 5415554144 is about 1756.0934946060.

The spelling of 5415554144 in words is "five billion, four hundred fifteen million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 169067 338134 676268 1183469 1352536 1859737 2197871 2366938 2705072 3719474 4395742 4733876 5410144 7438948 8791484 9467752 13018159 14877896 15385097 17582968 18935504 24176581 26036318 29755792 30770194 35165936 37871008 48353162 52072636 59511584 61540388 70331872 96706324 104145272 123080776 169236067 193412648 208290544 246161552 338472134 386825296 416581088 492323104 676944268 773650592 1353888536 2707777072 5415554144