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5188294944 = 2535795317
BaseRepresentation
bin1001101010011111…
…10001100100100000
3111101120200200200000
410311033301210200
541111200414234
62214455100000
7242366531220
oct46517614440
914346620600
105188294944
112222725868
121009671600
13648b78211
143730b8080
1520574c899
hex1353f1920

5188294944 has 144 divisors (see below), whose sum is σ = 17486659008. Its totient is φ = 1482354432.

The previous prime is 5188294931. The next prime is 5188294949. The reversal of 5188294944 is 4494928815.

It is a happy number.

5188294944 is a `hidden beast` number, since 51 + 88 + 29 + 494 + 4 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (5188294949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6774 + ... + 102090.

It is an arithmetic number, because the mean of its divisors is an integer number (121435132).

Almost surely, 25188294944 is an apocalyptic number.

5188294944 is a gapful number since it is divisible by the number (54) 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 5188294944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743329504).

5188294944 is an abundant number, since it is smaller than the sum of its proper divisors (12298364064).

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

5188294944 is an equidigital number, since it uses as much as digits as its factorization.

5188294944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95349 (or 95329 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 5188294944 is about 72029.8198248475. The cubic root of 5188294944 is about 1731.1773139402.

The spelling of 5188294944 in words is "five billion, one hundred eighty-eight million, two hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 95317 190634 285951 381268 571902 667219 762536 857853 1143804 1334438 1525072 1715706 2001657 2287608 2573559 2668876 3050144 3431412 4003314 4575216 5147118 5337752 6004971 6862824 7720677 8006628 9150432 10294236 10675504 12009942 13725648 15441354 16013256 18014913 20588472 21351008 23162031 24019884 27451296 30882708 32026512 36029826 41176944 46324062 48039768 54044739 61765416 64053024 72059652 82353888 92648124 96079536 108089478 123530832 144119304 162134217 185296248 192159072 216178956 247061664 288238608 324268434 370592496 432357912 576477216 648536868 741184992 864715824 1297073736 1729431648 2594147472 5188294944