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11652041440 = 255135601943
BaseRepresentation
bin10101101101000010…
…00000101011100000
31010002001101000221101
422312201000223200
5142330410311230
65204115404144
7561514501204
oct126641005340
933061330841
1011652041440
114a3a301216
1223122b3654
1311390448a0
147c7722b04
15482e3baca
hex2b6840ae0

11652041440 has 48 divisors (see below), whose sum is σ = 29645487648. Its totient is φ = 4302291456.

The previous prime is 11652041437. The next prime is 11652041459. The reversal of 11652041440 is 4414025611.

It is a junction number, because it is equal to n+sod(n) for n = 11652041399 and 11652041408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2798892 + ... + 2803051.

It is an arithmetic number, because the mean of its divisors is an integer number (617614326).

Almost surely, 211652041440 is an apocalyptic number.

11652041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11652041440 is an abundant number, since it is smaller than the sum of its proper divisors (17993446208).

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

11652041440 is a wasteful number, since it uses less digits than its factorization.

11652041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601971 (or 5601963 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 11652041440 in words is "eleven billion, six hundred fifty-two million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5601943 11203886 22407772 28009715 44815544 56019430 72825259 89631088 112038860 145650518 179262176 224077720 291301036 364126295 448155440 582602072 728252590 896310880 1165204144 1456505180 2330408288 2913010360 5826020720 11652041440