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6631130224125 = 3253112354113757
BaseRepresentation
bin110000001111110111000…
…1010010101010111111101
3212110221002212101211210100
41200133232022111113331
51332121023314133000
622034144342031313
71253040405622131
oct140375612252775
925427085354710
106631130224125
112127279158100
128b11a8118539
1339140b586064
1418cd3c6473c1
15b7756c85a00
hex607ee2955fd

6631130224125 has 144 divisors (see below), whose sum is σ = 13143876009264. Its totient is φ = 3213951840000.

The previous prime is 6631130224111. The next prime is 6631130224133. The reversal of 6631130224125 is 5214220311366.

6631130224125 is a `hidden beast` number, since 6 + 6 + 311 + 302 + 24 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4302094074201 + 2329036149924 = 2074149^2 + 1526118^2 .

It is not a de Polignac number, because 6631130224125 - 24 = 6631130224109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6631130224125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 482011747 + ... + 482025503.

It is an arithmetic number, because the mean of its divisors is an integer number (91276916731).

Almost surely, 26631130224125 is an apocalyptic number.

It is an amenable number.

6631130224125 is a deficient number, since it is larger than the sum of its proper divisors (6512745785139).

6631130224125 is a wasteful number, since it uses less digits than its factorization.

6631130224125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17341 (or 17317 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 6631130224125 in words is "six trillion, six hundred thirty-one billion, one hundred thirty million, two hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 275 363 375 495 605 825 1089 1125 1375 1815 2475 3025 3541 4125 5445 9075 10623 12375 13757 15125 17705 27225 31869 38951 41271 45375 53115 68785 88525 116853 123813 136125 151327 159345 194755 206355 265575 343925 350559 428461 442625 453981 584265 619065 756635 796725 973775 1031775 1285383 1327875 1361943 1664597 1719625 1752795 2142305 2269905 2921325 3095325 3783175 3856149 3983625 4868875 4993791 5158875 6426915 6809715 8322985 8763975 10711525 11349525 14606625 14981373 15476625 18915875 19280745 24968955 32134575 34048575 41614925 43819875 48713537 53557625 56747625 74906865 96403725 124844775 146140611 160672875 170242875 208074625 243567685 374534325 438421833 482018625 535848907 624223875 730703055 1217838425 1607546721 1872671625 2192109165 2679244535 3653515275 4822640163 5894337977 6089192125 8037733605 10960545825 13396222675 17683013931 18267576375 24113200815 29471689885 40188668025 53049041793 54802729125 66981113375 88415069655 120566004075 147358449425 200943340125 265245208965 442075348275 602830020375 736792247125 1326226044825 2210376741375 6631130224125