Search a number
-
+
235434499904 = 2637433836037
BaseRepresentation
bin1101101101000011111…
…1010101111101000000
3211111200211112210020202
43123100333111331000
512324132212444104
6300053534224332
723003200141622
oct3332077257500
9744624483222
10235434499904
119093570146a
12397666550a8
1319280573696
14b5761b2c12
1561ce23051e
hex36d0fd5f40

235434499904 has 112 divisors (see below), whose sum is σ = 492339099648. Its totient is φ = 111561504768.

The previous prime is 235434499901. The next prime is 235434499919. The reversal of 235434499904 is 409994434532.

It is a self number, because there is not a number n which added to its sum of digits gives 235434499904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235434499901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38995574 + ... + 39001610.

Almost surely, 2235434499904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235434499904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246169549824).

235434499904 is an abundant number, since it is smaller than the sum of its proper divisors (256904599744).

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

235434499904 is a wasteful number, since it uses less digits than its factorization.

235434499904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 56.

The spelling of 235434499904 in words is "two hundred thirty-five billion, four hundred thirty-four million, four hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 148 172 296 344 383 592 688 766 1184 1376 1532 1591 2368 2752 3064 3182 6037 6128 6364 12074 12256 12728 14171 16469 24148 24512 25456 28342 32938 48296 50912 56684 65876 96592 101824 113368 131752 193184 223369 226736 259591 263504 386368 446738 453472 519182 527008 609353 893476 906944 1038364 1054016 1218706 1786952 2076728 2312171 2437412 3573904 4153456 4624342 4874824 7147808 8306912 9248684 9604867 9749648 14295616 16613824 18497368 19209734 19499296 36994736 38419468 38998592 73989472 76838936 85550327 99423353 147978944 153677872 171100654 198846706 307355744 342201308 397693412 614711488 684402616 795386824 1368805232 1590773648 2737610464 3181547296 3678664061 5475220928 6363094592 7357328122 14714656244 29429312488 58858624976 117717249952 235434499904