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1074923657808 = 2437111322371871
BaseRepresentation
bin11111010010001100111…
…00010101101001010000
310210202120021111121010020
433221012130111221100
5120102420424022213
62141451344303440
7140442416223120
oct17510634255120
93722507447106
101074923657808
11384966421a50
121543b1911b80
137a4987c2580
143a052d2ac80
151ce6424d923
hexfa46715a50

1074923657808 has 160 divisors (see below), whose sum is σ = 3728406700032. Its totient is φ = 257723942400.

The previous prime is 1074923657791. The next prime is 1074923657827. The reversal of 1074923657808 is 8087563294701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11137888 + ... + 11233983.

It is a 1-persistent number, because it is pandigital, but 2⋅1074923657808 = 2149847315616 is not.

Almost surely, 21074923657808 is an apocalyptic number.

It is an amenable number.

1074923657808 is an abundant number, since it is smaller than the sum of its proper divisors (2653483042224).

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

1074923657808 is a wasteful number, since it uses less digits than its factorization.

1074923657808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22371913 (or 22371907 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 1074923657808 in words is "one trillion, seventy-four billion, nine hundred twenty-three million, six hundred fifty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 22371871 44743742 67115613 89487484 134231226 156603097 178974968 246090581 268462452 290834323 313206194 357949936 469809291 492181162 536924904 581668646 626412388 738271743 872502969 939618582 984362324 1073849808 1163337292 1252824776 1476543486 1722634067 1745005938 1879237164 1968724648 2035840261 2326674584 2505649552 2953086972 3199177553 3445268134 3490011876 3758474328 3937449296 4071680522 4653349168 5167902201 5906173944 6107520783 6398355106 6890536268 6980023752 7516948656 8143361044 9597532659 10335804402 11812347888 12215041566 12796710212 13781072536 13960047504 16286722088 19195065318 20671608804 22394242871 24430083132 25593420424 27562145072 32573444176 38390130636 41343217608 44788485742 48860166264 51186840848 67182728613 76780261272 82686435216 89576971484 97720332528 134365457226 153560522544 179153942968 268730914452 358307885936 537461828904 1074923657808