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9995294131900 = 22527111298090147
BaseRepresentation
bin1001000101110011010111…
…1101001100011010111100
31022101112121020022101101021
42101130311331030122330
52302230330244210100
633131435201553524
72051064464206240
oct221346575143274
938345536271337
109995294131900
113203a86a62730
1211551a39458a4
1357672422179c
14267abc154420
15125001c3ba1a
hex91735f4c6bc

9995294131900 has 72 divisors (see below), whose sum is σ = 27041813963136. Its totient is φ = 3115416350400.

The previous prime is 9995294131829. The next prime is 9995294131909. The reversal of 9995294131900 is 91314925999.

It is a super-2 number, since 2×99952941319002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995294131909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649037374 + ... + 649052773.

It is an arithmetic number, because the mean of its divisors is an integer number (375580749488).

Almost surely, 29995294131900 is an apocalyptic number.

It is an amenable number.

9995294131900 is an abundant number, since it is smaller than the sum of its proper divisors (17046519831236).

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

9995294131900 is a wasteful number, since it uses less digits than its factorization.

9995294131900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298090179 (or 1298090172 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 61.

The spelling of 9995294131900 in words is "nine trillion, nine hundred ninety-five billion, two hundred ninety-four million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1298090147 2596180294 5192360588 6490450735 9086631029 12980901470 14278991617 18173262058 25961802940 28557983234 32452253675 36346524116 45433155145 57115966468 64904507350 71394958085 90866310290 99952941319 129809014700 142789916170 181732620580 199905882638 227165775725 285579832340 356974790425 399811765276 454331551450 499764706595 713949580850 908663102900 999529413190 1427899161700 1999058826380 2498823532975 4997647065950 9995294131900