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349862140872 = 233219318249909
BaseRepresentation
bin1010001011101010110…
…10001001101111001000
31020110001111100020012100
411011311122021233020
521213004202001442
6424420251513400
734163624062416
oct5056532115710
91213044306170
10349862140872
1112541506a792
1257980158860
1326cb816088a
1412d0d4282b6
159179dc184c
hex5175689bc8

349862140872 has 96 divisors (see below), whose sum is σ = 1029588768000. Its totient is φ = 106918807680.

The previous prime is 349862140871. The next prime is 349862140879. The reversal of 349862140872 is 278041268943.

349862140872 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 621 + 4 + 0 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (349862140871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4082547 + ... + 4167362.

It is an arithmetic number, because the mean of its divisors is an integer number (10724883000).

Almost surely, 2349862140872 is an apocalyptic number.

It is an amenable number.

349862140872 is an abundant number, since it is smaller than the sum of its proper divisors (679726627128).

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

349862140872 is a wasteful number, since it uses less digits than its factorization.

349862140872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249971 (or 8249964 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 349862140872 in words is "three hundred forty-nine billion, eight hundred sixty-two million, one hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 7068 10602 14136 21204 42408 8249909 16499818 24749727 32999636 49499454 65999272 74249181 98998908 148498362 156748271 197997816 255747179 296996724 313496542 470244813 511494358 593993448 626993084 767241537 940489626 1022988716 1253986168 1410734439 1534483074 1880979252 2045977432 2301724611 2821468878 3068966148 3761958504 4603449222 4859196401 5642937756 6137932296 9206898444 9718392802 11285875512 14577589203 18413796888 19436785604 29155178406 38873571208 43732767609 58310356812 87465535218 116620713624 174931070436 349862140872