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11451466452540 = 22351992910812859
BaseRepresentation
bin1010011010100100000010…
…0101110000111000111100
31111112202020101102201122010
42212221000211300320330
53000110100402440130
640204421524251220
72261225004543042
oct246510045607074
944482211381563
1011451466452540
1137155a3300904
12134b454b40b10
13650b3a5797ba
142b837ab18392
1514cd2b5670b0
hexa6a40970e3c

11451466452540 has 96 divisors (see below), whose sum is σ = 33788024928000. Its totient is φ = 2889887680512.

The previous prime is 11451466452539. The next prime is 11451466452563. The reversal of 11451466452540 is 4525466415411.

It is a super-2 number, since 2×114514664525402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11451466452540.

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, 4347370 + ... + 6465489.

It is an arithmetic number, because the mean of its divisors is an integer number (351958593000).

Almost surely, 211451466452540 is an apocalyptic number.

11451466452540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451466452540 is an abundant number, since it is smaller than the sum of its proper divisors (22336558475460).

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

11451466452540 is a wasteful number, since it uses less digits than its factorization.

11451466452540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813819 (or 10813817 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 11451466452540 in words is "eleven trillion, four hundred fifty-one billion, four hundred sixty-six million, four hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 929 1140 1858 2787 3716 4645 5574 9290 11148 13935 17651 18580 27870 35302 52953 55740 70604 88255 105906 176510 211812 264765 353020 529530 1059060 10812859 21625718 32438577 43251436 54064295 64877154 108128590 129754308 162192885 205444321 216257180 324385770 410888642 616332963 648771540 821777284 1027221605 1232665926 2054443210 2465331852 3081664815 4108886420 6163329630 10045146011 12326659260 20090292022 30135438033 40180584044 50225730055 60270876066 100451460110 120541752132 150677190165 190857774209 200902920220 301354380330 381715548418 572573322627 602708760660 763431096836 954288871045 1145146645254 1908577742090 2290293290508 2862866613135 3817155484180 5725733226270 11451466452540