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5855071392 = 253783663
BaseRepresentation
bin1010111001111110…
…10100110010100000
3120010001100110000000
411130333110302200
543442344241032
62404554300000
7265044166662
oct53477246240
916101313000
105855071392
112535042885
121174a27600
137240542b1
143d7884532
1524405ae7c
hex15cfd4ca0

5855071392 has 96 divisors (see below), whose sum is σ = 17288328960. Its totient is φ = 1951667136.

The previous prime is 5855071381. The next prime is 5855071471. The reversal of 5855071392 is 2931705585.

5855071392 is a `hidden beast` number, since 5 + 8 + 5 + 507 + 139 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×58550713922 = 68563722010833635328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28153 + ... + 111815.

It is an arithmetic number, because the mean of its divisors is an integer number (180086760).

Almost surely, 25855071392 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 5855071392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644164480).

5855071392 is an abundant number, since it is smaller than the sum of its proper divisors (11433257568).

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

5855071392 is an frugal number, since it uses more digits than its factorization.

5855071392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83694 (or 83668 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5855071392 is about 76518.4382485686. The cubic root of 5855071392 is about 1802.3704768737.

The spelling of 5855071392 in words is "five billion, eight hundred fifty-five million, seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 69984 83663 167326 250989 334652 501978 669304 752967 1003956 1338608 1505934 2007912 2258901 2677216 3011868 4015824 4517802 6023736 6776703 8031648 9035604 12047472 13553406 18071208 20330109 24094944 27106812 36142416 40660218 54213624 60990327 72284832 81320436 108427248 121980654 162640872 182970981 216854496 243961308 325281744 365941962 487922616 650563488 731883924 975845232 1463767848 1951690464 2927535696 5855071392