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131752733675500 = 22537215113559009
BaseRepresentation
bin11101111101010000010010…
…111000111000111111101100
3122021111102211112122101102101
4131331100102320320333230
5114232114044310104000
61144114211551304444
736515551364140300
oct3575202270707754
9567442745571371
10131752733675500
1138a87025411713
121293a68bb1b124
1358692ca205032
142476c1b317d00
1510372ce744e6a
hex77d412e38fec

131752733675500 has 144 divisors (see below), whose sum is σ = 334948851881280. Its totient is φ = 45142457472000.

The previous prime is 131752733675467. The next prime is 131752733675543. The reversal of 131752733675500 is 5576337257131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35239996 + ... + 38799004.

It is an arithmetic number, because the mean of its divisors is an integer number (2326033693620).

Almost surely, 2131752733675500 is an apocalyptic number.

131752733675500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131752733675500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167474425940640).

131752733675500 is an abundant number, since it is smaller than the sum of its proper divisors (203196118205780).

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

131752733675500 is a wasteful number, since it uses less digits than its factorization.

131752733675500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560553 (or 3560534 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 55.

The spelling of 131752733675500 in words is "one hundred thirty-one trillion, seven hundred fifty-two billion, seven hundred thirty-three million, six hundred seventy-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 875 980 1225 1511 1750 2450 3022 3500 4900 6044 6125 7555 10577 12250 15110 21154 24500 30220 37775 42308 52885 74039 75550 105770 148078 151100 188875 211540 264425 296156 370195 377750 528850 740390 755500 1057700 1322125 1480780 1850975 2644250 3559009 3701950 5288500 7118018 7403900 9254875 14236036 17795045 18509750 24913063 35590090 37019500 49826126 71180180 88975225 99652252 124565315 174391441 177950450 249130630 348782882 355900900 444876125 498261260 622826575 697565764 871957205 889752250 1245653150 1743914410 1779504500 2491306300 3114132875 3487828820 4359786025 5377662599 6228265750 8719572050 10755325198 12456531500 17439144100 21510650396 21798930125 26888312995 37643638193 43597860250 53776625990 75287276386 87195720500 107553251980 134441564975 150574552772 188218190965 263505467351 268883129950 376436381930 527010934702 537766259900 672207824875 752872763860 941090954825 1054021869404 1317527336755 1344415649750 1882181909650 2635054673510 2688831299500 3764363819300 4705454774125 5270109347020 6587636683775 9410909548250 13175273367550 18821819096500 26350546735100 32938183418875 65876366837750 131752733675500