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1134462856680 = 23345536606469
BaseRepresentation
bin10000100000100011010…
…000010110110111101000
311000110020200000021120000
4100200203100112313220
5122041334442403210
62225055352103000
7144651022114236
oct20404320266750
94013220007500
101134462856680
113a813978632a
12163a49394a60
1382c9694066a
143cca050d956
151e79b2ccac0
hex10823416de8

1134462856680 has 160 divisors (see below), whose sum is σ = 3885000748200. Its totient is φ = 296815394304.

The previous prime is 1134462856669. The next prime is 1134462856697. The reversal of 1134462856680 is 866582644311.

1134462856680 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 628 + 5 + 6 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 973730821284 + 160732035396 = 986778^2 + 400914^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3131515 + ... + 3474954.

Almost surely, 21134462856680 is an apocalyptic number.

1134462856680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134462856680 is an abundant number, since it is smaller than the sum of its proper divisors (2750537891520).

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

1134462856680 is a wasteful number, since it uses less digits than its factorization.

1134462856680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606545 (or 6606532 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1134462856680 in words is "one trillion, one hundred thirty-four billion, four hundred sixty-two million, eight hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1908 2120 2385 2862 3180 3240 3816 4293 4770 5724 6360 7155 8586 9540 11448 14310 17172 19080 21465 28620 34344 42930 57240 85860 171720 6606469 13212938 19819407 26425876 33032345 39638814 52851752 59458221 66064690 79277628 99097035 118916442 132129380 158555256 178374663 198194070 237832884 264258760 297291105 350142857 356749326 396388140 475665768 535123989 594582210 700285714 713498652 792776280 891873315 1050428571 1070247978 1189164420 1400571428 1426997304 1750714285 1783746630 2100857142 2140495956 2378328840 2675619945 2801142856 3151285713 3501428570 3567493260 4201714284 4280991912 5252142855 5351239890 6302571426 7002857140 7134986520 8403428568 9453857139 10504285710 10702479780 12605142852 14005714280 15756428565 18907714278 21008571420 21404959560 25210285704 28361571417 31512857130 37815428556 42017142840 47269285695 56723142834 63025714260 75630857112 94538571390 113446285668 126051428520 141807857085 189077142780 226892571336 283615714170 378154285560 567231428340 1134462856680