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6144082952 = 23723721072
BaseRepresentation
bin1011011100011011…
…10100010000001000
3120212012011202022212
411232031310100020
5100040341123302
62453401004252
7305153562200
oct55615642010
916765152285
106144082952
1126731a1507
121235783688
1376bba5657
14423dd7400
1525e5e9052
hex16e374408

6144082952 has 108 divisors (see below), whose sum is σ = 13902897645. Its totient is φ = 2538067392.

The previous prime is 6144082949. The next prime is 6144082957. The reversal of 6144082952 is 2592804416.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4957004836 + 1187078116 = 70406^2 + 34454^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=55426.

It is not an unprimeable number, because it can be changed into a prime (6144082957) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57421283 + ... + 57421389.

Almost surely, 26144082952 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 6144082952

6144082952 is an abundant number, since it is smaller than the sum of its proper divisors (7758814693).

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

6144082952 is a wasteful number, since it uses less digits than its factorization.

6144082952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 6144082952 is about 78384.2009080912. The cubic root of 6144082952 is about 1831.5510307857.

The spelling of 6144082952 in words is "six billion, one hundred forty-four million, eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 107 148 196 214 259 296 392 428 518 749 856 1036 1369 1498 1813 2072 2738 2996 3626 3959 5243 5476 5992 7252 7918 9583 10486 10952 11449 14504 15836 19166 20972 22898 27713 31672 38332 41944 45796 55426 67081 76664 80143 91592 110852 134162 146483 160286 193991 221704 268324 292966 320572 387982 423613 536648 561001 585932 641144 775964 847226 1025381 1122002 1171864 1551928 1694452 2050762 2244004 2965291 3388904 4101524 4488008 5930582 7177667 8203048 11861164 14355334 15673681 20757037 23722328 28710668 31347362 41514074 57421336 62694724 83028148 109715767 125389448 166056296 219431534 438863068 768010369 877726136 1536020738 3072041476 6144082952