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3807280109664 = 253413111212657
BaseRepresentation
bin110111011001110011100…
…101000001100001100000
3111110222020220012220110000
4313121303211001201200
5444334302202002124
612033012413540000
7542031643653453
oct67316345014140
914428226186400
103807280109664
111238727403629
12515a624a4600
13218042b37a75
14d23b809149a
1569081c306c9
hex37673941860

3807280109664 has 120 divisors (see below), whose sum is σ = 11282580135288. Its totient is φ = 1259405521920.

The previous prime is 3807280109603. The next prime is 3807280109669. The reversal of 3807280109664 is 4669010827083.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3807280109664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807280109669) 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 19 ways as a sum of consecutive naturals, for example, 5266777 + ... + 5945880.

Almost surely, 23807280109664 is an apocalyptic number.

It is an amenable number.

3807280109664 is an abundant number, since it is smaller than the sum of its proper divisors (7475300025624).

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

3807280109664 is a wasteful number, since it uses less digits than its factorization.

3807280109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212810 (or 11212793 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3807280109664 in words is "three trillion, eight hundred seven billion, two hundred eighty million, one hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 262 288 324 393 432 524 648 786 864 1048 1179 1296 1572 2096 2358 2592 3144 3537 4192 4716 6288 7074 9432 10611 12576 14148 18864 21222 28296 37728 42444 56592 84888 113184 169776 339552 11212657 22425314 33637971 44850628 67275942 89701256 100913913 134551884 179402512 201827826 269103768 302741739 358805024 403655652 538207536 605483478 807311304 908225217 1076415072 1210966956 1468858067 1614622608 1816450434 2421933912 2937716134 3229245216 3632900868 4406574201 4843867824 5875432268 7265801736 8813148402 9687735648 11750864536 13219722603 14531603472 17626296804 23501729072 26439445206 29063206944 35252593608 39659167809 47003458144 52878890412 70505187216 79318335618 105757780824 118977503427 141010374432 158636671236 211515561648 237955006854 317273342472 423031123296 475910013708 634546684944 951820027416 1269093369888 1903640054832 3807280109664