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11058306480 = 24325131181443
BaseRepresentation
bin10100100110010000…
…00101110110110000
31001112200011011200200
422103020011312300
5140121411301410
65025145515200
7541015024404
oct122310056660
931480134620
1011058306480
114765142371
1221874a2b00
131073030820
1476c92b104
1544ac5a3c0
hex293205db0

11058306480 has 120 divisors (see below), whose sum is σ = 39994242288. Its totient is φ = 2722042368.

The previous prime is 11058306437. The next prime is 11058306521. The reversal of 11058306480 is 8460385011.

11058306480 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 8 + 3 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×110583064802 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581362 + ... + 600081.

Almost surely, 211058306480 is an apocalyptic number.

11058306480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11058306480 is an abundant number, since it is smaller than the sum of its proper divisors (28935935808).

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

11058306480 is a wasteful number, since it uses less digits than its factorization.

11058306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181475 (or 1181466 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11058306480 in words is "eleven billion, fifty-eight million, three hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 1181443 2362886 3544329 4725772 5907215 7088658 9451544 10632987 11814430 14177316 15358759 17721645 18903088 21265974 23628860 28354632 30717518 35443290 42531948 46076277 47257720 53164935 56709264 61435036 70886580 76793795 85063896 92152554 94515440 106329870 122870072 138228831 141773160 153587590 170127792 184305108 212659740 230381385 245740144 276457662 283546320 307175180 368610216 425319480 460762770 552915324 614350360 691144155 737220432 850638960 921525540 1105830648 1228700720 1382288310 1843051080 2211661296 2764576620 3686102160 5529153240 11058306480