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5148813312 = 21132319011
BaseRepresentation
bin1001100101110010…
…01010100000000000
3111021211101211001100
410302321022200000
541021044011222
62210524534400
7241410122346
oct46271124000
914254354040
105148813312
112202409715
12bb83b1400
136409335c6
1436bb5b996
1520204e4ac
hex132e4a800

5148813312 has 144 divisors (see below), whose sum is σ = 15352122240. Its totient is φ = 1660723200.

The previous prime is 5148813311. The next prime is 5148813317. The reversal of 5148813312 is 2133188415.

5148813312 is a `hidden beast` number, since 514 + 8 + 8 + 133 + 1 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (5148813311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566887 + ... + 575897.

It is an arithmetic number, because the mean of its divisors is an integer number (106611960).

Almost surely, 25148813312 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 5148813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676061120).

5148813312 is an abundant number, since it is smaller than the sum of its proper divisors (10203308928).

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

5148813312 is a wasteful number, since it uses less digits than its factorization.

5148813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9047 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5148813312 is about 71755.2319486182. The cubic root of 5148813312 is about 1726.7748517424.

The spelling of 5148813312 in words is "five billion, one hundred forty-eight million, eight hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4464 4608 5952 6144 7936 8928 9011 9216 11904 15872 17856 18022 18432 23808 27033 31744 35712 36044 47616 54066 63488 71424 72088 81099 95232 108132 142848 144176 162198 190464 216264 279341 285696 288352 324396 432528 558682 571392 576704 648792 838023 865056 1117364 1153408 1297584 1676046 1730112 2234728 2306816 2514069 2595168 3352092 3460224 4469456 4613632 5028138 5190336 6704184 6920448 8938912 9227264 10056276 10380672 13408368 13840896 17877824 18454528 20112552 20761344 26816736 27681792 35755648 40225104 41522688 53633472 55363584 71511296 80450208 83045376 107266944 143022592 160900416 166090752 214533888 286045184 321800832 429067776 572090368 643601664 858135552 1287203328 1716271104 2574406656 5148813312