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235426742500 = 22541131515519
BaseRepresentation
bin1101101101000010000…
…1110000000011100100
3211111200021221200002111
43123100201300003210
512324123221230000
6300053100050404
723003044202365
oct3332041600344
9744607850074
10235426742500
1190931293194
1239763b33a04
131927ba887c1
14b575153b6c
1561cd6ebcba
hex36d08700e4

235426742500 has 120 divisors (see below), whose sum is σ = 522921611520. Its totient is φ = 92702400000.

The previous prime is 235426742479. The next prime is 235426742527. The reversal of 235426742500 is 5247624532.

It is a happy number.

It is a super-2 number, since 2×2354267425002 (a number of 24 digits) contains 22 as substring.

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, 42654741 + ... + 42660259.

It is an arithmetic number, because the mean of its divisors is an integer number (4357680096).

Almost surely, 2235426742500 is an apocalyptic number.

235426742500 is a gapful number since it is divisible by the number (20) 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 235426742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261460805760).

235426742500 is an abundant number, since it is smaller than the sum of its proper divisors (287494869020).

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

235426742500 is a wasteful number, since it uses less digits than its factorization.

235426742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 235426742500 in words is "two hundred thirty-five billion, four hundred twenty-six million, seven hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 151 226 250 302 452 500 565 604 625 755 1130 1250 1510 2260 2500 2825 3020 3775 5519 5650 7550 11038 11300 14125 15100 17063 18875 22076 27595 28250 34126 37750 55190 56500 68252 70625 75500 85315 94375 110380 137975 141250 170630 188750 275950 282500 341260 377500 426575 551900 623647 689875 833369 853150 1247294 1379750 1666738 1706300 2132875 2494588 2759500 3118235 3333476 3449375 4166845 4265750 6236470 6898750 8333690 8531500 10664375 12472940 13797500 15591175 16667380 20834225 21328750 31182350 41668450 42657500 62364700 77955875 83336900 94170697 104171125 155911750 188341394 208342250 311823500 376682788 389779375 416684500 470853485 520855625 779558750 941706970 1041711250 1559117500 1883413940 2083422500 2354267425 4708534850 9417069700 11771337125 23542674250 47085348500 58856685625 117713371250 235426742500