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11452513104540 = 2233549143194211
BaseRepresentation
bin1010011010100111111011…
…1110011011001010011100
31111112211221022220011021000
42212221332332123022130
53000114221323321130
640205113433510300
72261262644125434
oct246517676331234
944484838804230
1011452513104540
113715a90098a62
12134b6a7572390
13650c7636c201
142b8439b2b2c4
1514cd8d3b1260
hexa6a7ef9b29c

11452513104540 has 96 divisors (see below), whose sum is σ = 35702607870720. Its totient is φ = 3047783457600.

The previous prime is 11452513104521. The next prime is 11452513104559. The reversal of 11452513104540 is 4540131525411.

11452513104540 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 5 + 1 + 3 + 104 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (11452513104521) and next prime (11452513104559).

It is a super-2 number, since 2×114525131045402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11452513104495 and 11452513104504.

It is a congruent number.

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, 21331966 + ... + 21862245.

It is an arithmetic number, because the mean of its divisors is an integer number (371902165320).

Almost surely, 211452513104540 is an apocalyptic number.

11452513104540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11452513104540 is an abundant number, since it is smaller than the sum of its proper divisors (24250094766180).

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

11452513104540 is a wasteful number, since it uses less digits than its factorization.

11452513104540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43194720 (or 43194712 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11452513104540 its reverse (4540131525411), we get a palindrome (15992644629951).

The spelling of 11452513104540 in words is "eleven trillion, four hundred fifty-two billion, five hundred thirteen million, one hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 491 540 982 1473 1964 2455 2946 4419 4910 5892 7365 8838 9820 13257 14730 17676 22095 26514 29460 44190 53028 66285 88380 132570 265140 43194211 86388422 129582633 172776844 215971055 259165266 388747899 431942110 518330532 647913165 777495798 863884220 1166243697 1295826330 1554991596 1943739495 2332487394 2591652660 3887478990 4664974788 5831218485 7774957980 11662436970 21208357601 23324873940 42416715202 63625072803 84833430404 106041788005 127250145606 190875218409 212083576010 254500291212 318125364015 381750436818 424167152020 572625655227 636250728030 763500873636 954376092045 1145251310454 1272501456060 1908752184090 2290502620908 2863128276135 3817504368180 5726256552270 11452513104540