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437422975112 = 231923123972
BaseRepresentation
bin1100101110110000111…
…00001110100010001000
31112211001202111110221002
412113120130032202020
524131320240200422
6532541020234132
743413514640504
oct6273034164210
91484052443832
10437422975112
11159567958502
127093809b948
13323308332b6
14172583cd304
15b5a203c692
hex65d870e888

437422975112 has 108 divisors (see below), whose sum is σ = 896688934965. Its totient is φ = 200011394880.

The previous prime is 437422975111. The next prime is 437422975139. The reversal of 437422975112 is 211579224734.

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 424366256356 + 13056718756 = 651434^2 + 114266^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=467666.

It is not an unprimeable number, because it can be changed into a prime (437422975111) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1101820898 + ... + 1101821294.

Almost surely, 2437422975112 is an apocalyptic number.

It is an amenable number.

437422975112 is an abundant number, since it is smaller than the sum of its proper divisors (459265959853).

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

437422975112 is an equidigital number, since it uses as much as digits as its factorization.

437422975112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 449 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 437422975112 in words is "four hundred thirty-seven billion, four hundred twenty-two million, nine hundred seventy-five thousand, one hundred twelve".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 361 397 589 722 794 961 1178 1444 1588 1922 2356 2888 3176 3844 4712 7543 7688 11191 12307 15086 18259 22382 24614 30172 36518 44764 49228 60344 73036 89528 98456 143317 146072 157609 233833 286634 315218 346921 381517 467666 573268 630436 693842 763034 935332 1146536 1260872 1387684 1526068 1870664 2775368 2994571 3052136 4442827 4885879 5989142 7248823 8885654 9771758 11978284 14497646 17771308 19543516 23956568 28995292 35542616 39087032 56896849 57990584 92831701 113793698 137727637 151462249 185663402 227587396 275455274 302924498 371326804 455174792 550910548 605848996 742653608 1101821096 1211697992 1763802319 2877782731 3527604638 5755565462 7055209276 11511130924 14110418552 23022261848 54677871889 109355743778 218711487556 437422975112