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1082166112560 = 2435131069132443
BaseRepresentation
bin11111011111101100010…
…00000111000100110000
310211110021000110102022010
433233312020013010300
5120212234011100220
62145050143242520
7141120041120421
oct17576610070460
93743230412263
101082166112560
11387a42616445
121558932a9440
137b0810c8760
143a53cb5b648
151d239eab1e0
hexfbf6207130

1082166112560 has 160 divisors (see below), whose sum is σ = 3613219239168. Its totient is φ = 266346224640.

The previous prime is 1082166112529. The next prime is 1082166112561. The reversal of 1082166112560 is 652116612801.

1082166112560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1082166112561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33339699 + ... + 33372141.

Almost surely, 21082166112560 is an apocalyptic number.

1082166112560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082166112560 is an abundant number, since it is smaller than the sum of its proper divisors (2531053126608).

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

1082166112560 is a wasteful number, since it uses less digits than its factorization.

1082166112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43163 (or 43157 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 1082166112560 in words is "one trillion, eighty-two billion, one hundred sixty-six million, one hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 10691 21382 32073 32443 42764 53455 64146 64886 85528 97329 106910 128292 129772 138983 160365 162215 171056 194658 213820 256584 259544 277966 320730 324430 389316 416949 421759 427640 486645 513168 519088 555932 641460 648860 694915 778632 833898 843518 855280 973290 1111864 1265277 1282920 1297720 1389830 1557264 1667796 1687036 1946580 2084745 2108795 2223728 2530554 2565840 2595440 2779660 3335592 3374072 3893160 4169490 4217590 5061108 5559320 6326385 6671184 6748144 7786320 8338980 8435180 10122216 11118640 12652770 16677960 16870360 20244432 25305540 33355920 33740720 50611080 101222160 346848113 693696226 1040544339 1387392452 1734240565 2081088678 2774784904 3468481130 4162177356 4509025469 5202721695 5549569808 6936962260 8324354712 9018050938 10405443390 13527076407 13873924520 16648709424 18036101876 20810886780 22545127345 27054152814 27747849040 36072203752 41621773560 45090254690 54108305628 67635382035 72144407504 83243547120 90180509380 108216611256 135270764070 180361018760 216433222512 270541528140 360722037520 541083056280 1082166112560