Search a number
-
+
2062126944 = 25333176991
BaseRepresentation
bin111101011101001…
…1000111101100000
312022201020220101000
41322322120331200
513210401030234
6540342312000
7102046534623
oct17272307540
95281226330
102062126944
11969020549
12496728600
1326b2ba477
14157c2bdba
15c1085899
hex7ae98f60

2062126944 has 96 divisors (see below), whose sum is σ = 6208634880. Its totient is φ = 665193600.

The previous prime is 2062126933. The next prime is 2062126951. The reversal of 2062126944 is 4496212602.

2062126944 is a `hidden beast` number, since 2 + 0 + 621 + 26 + 9 + 4 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2062126899 and 2062126908.

It is a congruent number.

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, 11712 + ... + 65279.

It is an arithmetic number, because the mean of its divisors is an integer number (64673280).

Almost surely, 22062126944 is an apocalyptic number.

2062126944 is a gapful number since it is divisible by the number (24) 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 2062126944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104317440).

2062126944 is an abundant number, since it is smaller than the sum of its proper divisors (4146507936).

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

2062126944 is a wasteful number, since it uses less digits than its factorization.

2062126944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77041 (or 77027 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2062126944 is about 45410.6479143383. The cubic root of 2062126944 is about 1272.8340916010.

The spelling of 2062126944 in words is "two billion, sixty-two million, one hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 76991 153982 230973 307964 461946 615928 692919 923892 1231856 1385838 1847784 2078757 2386721 2463712 2771676 3695568 4157514 4773442 5543352 7160163 7391136 8315028 9546884 11086704 14320326 16630056 19093768 21480489 22173408 28640652 33260112 38187536 42960978 57281304 64441467 66520224 76375072 85921956 114562608 128882934 171843912 229125216 257765868 343687824 515531736 687375648 1031063472 2062126944