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5419827216 = 2432193163901
BaseRepresentation
bin1010000110000110…
…00000000000010000
3111222201100202020100
411003003000000100
542044433432331
62253445412400
7251210525346
oct50303000020
914881322210
105419827216
112331395451
12107310a100
13684b22a6b
14395b47996
1521ac34ae6
hex1430c0010

5419827216 has 120 divisors (see below), whose sum is σ = 16481603840. Its totient is φ = 1656288000.

The previous prime is 5419827173. The next prime is 5419827227. The reversal of 5419827216 is 6127289145.

5419827216 is a `hidden beast` number, since 541 + 9 + 82 + 7 + 21 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52866 + ... + 116766.

Almost surely, 25419827216 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 5419827216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240801920).

5419827216 is an abundant number, since it is smaller than the sum of its proper divisors (11061776624).

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

5419827216 is a wasteful number, since it uses less digits than its factorization.

5419827216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63965 (or 63956 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5419827216 is about 73619.4757927547. The cubic root of 5419827216 is about 1756.5552473639. Note that the first 3 decimals are identical.

The spelling of 5419827216 in words is "five billion, four hundred nineteen million, eight hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2356 2736 3534 4464 4712 5301 7068 9424 10602 14136 21204 28272 42408 63901 84816 127802 191703 255604 383406 511208 575109 766812 1022416 1150218 1214119 1533624 1980931 2300436 2428238 3067248 3642357 3961862 4600872 4856476 5942793 7284714 7923724 9201744 9712952 10927071 11885586 14569428 15847448 17828379 19425904 21854142 23771172 29138856 31694896 35656758 37637689 43708284 47542344 58277712 71313516 75275378 87416568 95084688 112913067 142627032 150550756 174833136 225826134 285254064 301101512 338739201 451652268 602203024 677478402 903304536 1354956804 1806609072 2709913608 5419827216