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11685295692480 = 263550324199171
BaseRepresentation
bin1010101000001011000111…
…1001100001101011000000
31112101002210100101212012010
42222002301321201223000
53012422441144124410
640504052320332520
72314143343356534
oct252026171415300
945332710355163
1011685295692480
1137a5784868743
121388831a74140
13669bc33951c7
142c57dda27bc4
15153e648a9c20
hexaa0b1e61ac0

11685295692480 has 112 divisors (see below), whose sum is σ = 37174574433024. Its totient is φ = 3109883735040.

The previous prime is 11685295692479. The next prime is 11685295692517. The reversal of 11685295692480 is 8429659258611.

It is a super-2 number, since 2×116852956924802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11616706 + ... + 12582465.

It is an arithmetic number, because the mean of its divisors is an integer number (331915843152).

Almost surely, 211685295692480 is an apocalyptic number.

11685295692480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11685295692480 is an abundant number, since it is smaller than the sum of its proper divisors (25489278740544).

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

11685295692480 is a wasteful number, since it uses less digits than its factorization.

11685295692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24199694 (or 24199684 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 11685295692480 in words is "eleven trillion, six hundred eighty-five billion, two hundred ninety-five million, six hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 503 960 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 16096 20120 24144 30180 32192 40240 48288 60360 80480 96576 120720 160960 241440 482880 24199171 48398342 72597513 96796684 120995855 145195026 193593368 241991710 290390052 362987565 387186736 483983420 580780104 725975130 774373472 967966840 1161560208 1451950260 1548746944 1935933680 2323120416 2903900520 3871867360 4646240832 5807801040 7743734720 11615602080 12172183013 23231204160 24344366026 36516549039 48688732052 60860915065 73033098078 97377464104 121721830130 146066196156 182582745195 194754928208 243443660260 292132392312 365165490390 389509856416 486887320520 584264784624 730330980780 779019712832 973774641040 1168529569248 1460661961560 1947549282080 2337059138496 2921323923120 3895098564160 5842647846240 11685295692480