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11520504206040 = 2335311930780443
BaseRepresentation
bin1010011110100101001110…
…0011111001001011011000
31111210100102202010222110110
42213221103203321023120
53002222443034043130
640300240243044320
72266220556012234
oct247512343711330
944710382128413
1011520504206040
113741900315935
1213609016706a0
136574c054510b
142bb849a0d5c4
1514ea1c452ab0
hexa7a538f92d8

11520504206040 has 64 divisors (see below), whose sum is σ = 34572594700800. Its totient is φ = 3071149380992.

The previous prime is 11520504206033. The next prime is 11520504206059. The reversal of 11520504206040 is 4060240502511.

It is a super-2 number, since 2×115205042060402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11520504205989 and 11520504206007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15015942 + ... + 15764501.

It is an arithmetic number, because the mean of its divisors is an integer number (540196792200).

Almost surely, 211520504206040 is an apocalyptic number.

11520504206040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11520504206040 is an abundant number, since it is smaller than the sum of its proper divisors (23052090494760).

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

11520504206040 is a wasteful number, since it uses less digits than its factorization.

11520504206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30783576 (or 30783572 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 11520504206040 its reverse (4060240502511), we get a palindrome (15580744708551).

The spelling of 11520504206040 in words is "eleven trillion, five hundred twenty billion, five hundred four million, two hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3119 6238 9357 12476 15595 18714 24952 31190 37428 46785 62380 74856 93570 124760 187140 374280 30780443 61560886 92341329 123121772 153902215 184682658 246243544 307804430 369365316 461706645 615608860 738730632 923413290 1231217720 1846826580 3693653160 96004201717 192008403434 288012605151 384016806868 480021008585 576025210302 768033613736 960042017170 1152050420604 1440063025755 1920084034340 2304100841208 2880126051510 3840168068680 5760252103020 11520504206040