Search a number
-
+
11933882949660 = 2235743660790861
BaseRepresentation
bin1010110110101001001011…
…0110101010000000011100
31120020212102211011221111020
42231222102312222000130
53031011043013342120
641214203344124140
72341123513241550
oct255522266520034
946225384157436
1011933882949660
11389114989a341
121408a49306650
1368748b8634a9
142d386296b860
1515a663663640
hexada92daa01c

11933882949660 has 96 divisors (see below), whose sum is σ = 39076528415232. Its totient is φ = 2664308747520.

The previous prime is 11933882949643. The next prime is 11933882949697. The reversal of 11933882949660 is 6694928833911.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330377371 + ... + 330413490.

It is an arithmetic number, because the mean of its divisors is an integer number (407047170992).

Almost surely, 211933882949660 is an apocalyptic number.

11933882949660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11933882949660 is an abundant number, since it is smaller than the sum of its proper divisors (27142645465572).

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

11933882949660 is a wasteful number, since it uses less digits than its factorization.

11933882949660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660790923 (or 660790921 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 69.

The spelling of 11933882949660 in words is "eleven trillion, nine hundred thirty-three billion, eight hundred eighty-two million, nine hundred forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 660790861 1321581722 1982372583 2643163444 3303954305 3964745166 4625536027 6607908610 7929490332 9251072054 9911862915 13215817220 13876608081 18502144108 19823725830 23127680135 27753216162 28414007023 39647451660 46255360270 55506432324 56828014046 69383040405 85242021069 92510720540 113656028092 138766080810 142070035115 170484042138 198898049161 277532161620 284140070230 340968084276 397796098322 426210105345 568280140460 596694147483 795592196644 852420210690 994490245805 1193388294966 1704840421380 1988980491610 2386776589932 2983470737415 3977960983220 5966941474830 11933882949660