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461497133145 = 351731210931723
BaseRepresentation
bin1101011011100110101…
…11110110100001011001
31122010012112021102022210
412231303113312201121
530030121231230040
6552001525105333
745225220623246
oct6556327664131
91563175242283
10461497133145
111687a1111784
1275536558249
13346992c5919
141849d8105cd
15c0107cb480
hex6b735f6859

461497133145 has 96 divisors (see below), whose sum is σ = 809072758656. Its totient is φ = 223845672960.

The previous prime is 461497133131. The next prime is 461497133147. The reversal of 461497133145 is 541331794164.

It is not a de Polignac number, because 461497133145 - 215 = 461497100377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461497133094 and 461497133103.

It is not an unprimeable number, because it can be changed into a prime (461497133147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267844254 + ... + 267845976.

It is an arithmetic number, because the mean of its divisors is an integer number (8427841236).

Almost surely, 2461497133145 is an apocalyptic number.

It is an amenable number.

461497133145 is a deficient number, since it is larger than the sum of its proper divisors (347575625511).

461497133145 is a wasteful number, since it uses less digits than its factorization.

461497133145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2872 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 461497133145 in words is "four hundred sixty-one billion, four hundred ninety-seven million, one hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 31 51 85 93 155 255 465 527 961 1093 1581 1723 2635 2883 3279 4805 5169 5465 7905 8615 14415 16337 16395 18581 25845 29291 33883 49011 53413 55743 81685 87873 92905 101649 146455 160239 169415 245055 267065 278715 439365 508245 576011 801195 908021 1050373 1655803 1728033 1883239 2724063 2880055 3151119 4540105 4967409 5251865 5649717 8279015 8640165 9416195 13620315 15755595 17856341 24837045 28148651 28248585 32015063 53569023 58380409 84445953 89281705 96045189 140743255 160075315 175141227 267845115 291902045 422229765 480225945 875706135 992466953 1809792679 2977400859 4962334765 5429378037 9048963395 14887004295 27146890185 30766475543 92299426629 153832377715 461497133145