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235442742756 = 223132743315619
BaseRepresentation
bin1101101101000101111…
…0110010010111100100
3211111201102001120022120
43123101132302113210
512324141320232011
6300054431025540
723003330202354
oct3332136622744
9744642046276
10235442742756
119093a321441
123976936b2b0
131928219b500
14b57731ab64
1561ced0ca06
hex36d17b25e4

235442742756 has 72 divisors (see below), whose sum is σ = 594994165920. Its totient is φ = 72429537024.

The previous prime is 235442742739. The next prime is 235442742779. The reversal of 235442742756 is 657247244532.

It is a junction number, because it is equal to n+sod(n) for n = 235442742699 and 235442742708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15066315 + ... + 15081933.

It is an arithmetic number, because the mean of its divisors is an integer number (8263807860).

Almost surely, 2235442742756 is an apocalyptic number.

235442742756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

235442742756 is an abundant number, since it is smaller than the sum of its proper divisors (359551423164).

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

235442742756 is a wasteful number, since it uses less digits than its factorization.

235442742756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085 (or 23070 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 51.

The spelling of 235442742756 in words is "two hundred thirty-five billion, four hundred forty-two million, seven hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 7433 14866 15619 22299 29732 31238 44598 46857 62476 89196 93714 96629 187428 193258 203047 289887 386516 406094 579774 609141 812188 1159548 1218282 1256177 2436564 2512354 2639611 3768531 5024708 5279222 7537062 7918833 10558444 15074124 15837666 31675332 116096027 232192054 348288081 464384108 696576162 1393152324 1509248351 3018496702 4527745053 6036993404 9055490106 18110980212 19620228563 39240457126 58860685689 78480914252 117721371378 235442742756