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1083542436240 = 2435111259325999
BaseRepresentation
bin11111100010010000010…
…10010111100110010000
310211120210221020220110020
433301020022113212100
5120223043330424430
62145434510503440
7141166122513045
oct17611012274620
93746727226406
101083542436240
11388589503830
12155bb8204b80
137b2402a7674
143a62d8691cc
151d2bac25b10
hexfc48297990

1083542436240 has 160 divisors (see below), whose sum is σ = 3667265280000. Its totient is φ = 262467509760.

The previous prime is 1083542436227. The next prime is 1083542436257. The reversal of 1083542436240 is 426342453801.

It is a super-2 number, since 2×10835424362402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1083542436192 and 1083542436201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3160761 + ... + 3486759.

It is an arithmetic number, because the mean of its divisors is an integer number (22920408000).

Almost surely, 21083542436240 is an apocalyptic number.

1083542436240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083542436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833632640000).

1083542436240 is an abundant number, since it is smaller than the sum of its proper divisors (2583722843760).

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

1083542436240 is a wasteful number, since it uses less digits than its factorization.

1083542436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327285 (or 327279 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 1083542436240 in words is "one trillion, eighty-three billion, five hundred forty-two million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1259 1320 2518 2640 3777 5036 6295 7554 10072 12590 13849 15108 18885 20144 25180 27698 30216 37770 41547 50360 55396 60432 69245 75540 83094 100720 110792 138490 151080 166188 207735 221584 276980 302160 325999 332376 415470 553960 651998 664752 830940 977997 1107920 1303996 1629995 1661880 1955994 2607992 3259990 3323760 3585989 3911988 4889985 5215984 6519980 7171978 7823976 9779970 10757967 13039960 14343956 15647952 17929945 19559940 21515934 26079920 28687912 35859890 39119880 43031868 53789835 57375824 71719780 78239760 86063736 107579670 143439560 172127472 215159340 286879120 410432741 430318680 820865482 860637360 1231298223 1641730964 2052163705 2462596446 3283461928 4104327410 4514760151 4925192892 6156491115 6566923856 8208654820 9029520302 9850385784 12312982230 13544280453 16417309640 18059040604 19700771568 22573800755 24625964460 27088560906 32834619280 36118081208 45147601510 49251928920 54177121812 67721402265 72236162416 90295203020 98503857840 108354243624 135442804530 180590406040 216708487248 270885609060 361180812080 541771218120 1083542436240