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5855877216 = 2532719152879
BaseRepresentation
bin1010111010000100…
…11001100001100000
3120010002212101101100
411131002121201200
543443101032331
62405023434400
7265054064220
oct53502314140
916102771340
105855877216
112535543252
121175155a00
13724277007
143d7a14080
15244169ae6
hex15d099860

5855877216 has 144 divisors (see below), whose sum is σ = 20033395200. Its totient is φ = 1585039104.

The previous prime is 5855877191. The next prime is 5855877221. The reversal of 5855877216 is 6127785585.

5855877216 is a `hidden beast` number, since 5 + 8 + 558 + 7 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 38136 + ... + 114743.

It is an arithmetic number, because the mean of its divisors is an integer number (139120800).

Almost surely, 25855877216 is an apocalyptic number.

5855877216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5855877216 is an abundant number, since it is smaller than the sum of its proper divisors (14177517984).

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

5855877216 is a wasteful number, since it uses less digits than its factorization.

5855877216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152921 (or 152910 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 54.

The square root of 5855877216 is about 76523.7036218190. The cubic root of 5855877216 is about 1802.4531588580.

The spelling of 5855877216 in words is "five billion, eight hundred fifty-five million, eight hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 152879 305758 458637 611516 917274 1070153 1223032 1375911 1834548 2140306 2446064 2751822 2904701 3210459 3669096 4280612 4892128 5503644 5809402 6420918 7338192 8561224 8714103 9631377 11007288 11618804 12841836 14676384 17122448 17428206 19262754 20332907 22014576 23237608 25683672 26142309 34244896 34856412 38525508 40665814 44029152 46475216 51367344 52284618 60998721 69712824 77051016 81331628 92950432 102734688 104569236 121997442 139425648 154102032 162663256 182996163 209138472 243994884 278851296 308204064 325326512 365992326 418276944 487989768 650653024 731984652 836553888 975979536 1463969304 1951959072 2927938608 5855877216