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131625547500 = 2235428876079
BaseRepresentation
bin111101010010101111…
…1100111011011101100
3110120202012200121120210
41322211133213123230
54124032120010000
6140245024142420
712336542456616
oct1724537473354
9416665617523
10131625547500
1150905210017
1221615167a10
13c5488b3a65
14652932ddb6
15365590c350
hex1ea57e76ec

131625547500 has 120 divisors (see below), whose sum is σ = 383981086720. Its totient is φ = 35082216000.

The previous prime is 131625547499. The next prime is 131625547553. The reversal of 131625547500 is 5745526131.

131625547500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21649461 + ... + 21655539.

Almost surely, 2131625547500 is an apocalyptic number.

131625547500 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 131625547500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990543360).

131625547500 is an abundant number, since it is smaller than the sum of its proper divisors (252355539220).

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

131625547500 is a wasteful number, since it uses less digits than its factorization.

131625547500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 131625547500 in words is "one hundred thirty-one billion, six hundred twenty-five million, five hundred forty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 2887 3750 5774 6079 7500 8661 11548 12158 14435 17322 18237 24316 28870 30395 34644 36474 43305 57740 60790 72175 72948 86610 91185 121580 144350 151975 173220 182370 216525 288700 303950 360875 364740 433050 455925 607900 721750 759875 866100 911850 1082625 1443500 1519750 1804375 1823700 2165250 2279625 3039500 3608750 3799375 4330500 4559250 5413125 7217500 7598750 9118500 10826250 11398125 15197500 17550073 21652500 22796250 35100146 45592500 52650219 70200292 87750365 105300438 175500730 210600876 263251095 351001460 438751825 526502190 877503650 1053004380 1316255475 1755007300 2193759125 2632510950 4387518250 5265021900 6581277375 8775036500 10968795625 13162554750 21937591250 26325109500 32906386875 43875182500 65812773750 131625547500