Search a number
-
+
29081570982960 = 24351009120092381
BaseRepresentation
bin1101001110011000101001…
…01101010011110000110000
310210222011121200110121111010
412213030110231103300300
512302433024132423320
6141503520025550520
76061034303506056
oct647142455236060
9123864550417433
1029081570982960
1192a2474734a71
123318253345440
13132c4c38c1842
147277ac5bc1d6
153567298ecae0
hex1a7314b53c30

29081570982960 has 80 divisors (see below), whose sum is σ = 90242219530080. Its totient is φ = 7747399618560.

The previous prime is 29081570982949. The next prime is 29081570982967. The reversal of 29081570982960 is 6928907518092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×290815709829602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29081570982891 and 29081570982900.

It is not an unprimeable number, because it can be changed into a prime (29081570982967) 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, 59804031 + ... + 60288350.

It is an arithmetic number, because the mean of its divisors is an integer number (1128027744126).

Almost surely, 229081570982960 is an apocalyptic number.

29081570982960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29081570982960 is an abundant number, since it is smaller than the sum of its proper divisors (61160648547120).

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

29081570982960 is a wasteful number, since it uses less digits than its factorization.

29081570982960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120093406 (or 120093400 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 29081570982960 in words is "twenty-nine trillion, eighty-one billion, five hundred seventy million, nine hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1009 2018 3027 4036 5045 6054 8072 10090 12108 15135 16144 20180 24216 30270 40360 48432 60540 80720 121080 242160 120092381 240184762 360277143 480369524 600461905 720554286 960739048 1200923810 1441108572 1801385715 1921478096 2401847620 2882217144 3602771430 4803695240 5764434288 7205542860 9607390480 14411085720 28822171440 121173212429 242346424858 363519637287 484692849716 605866062145 727039274574 969385699432 1211732124290 1454078549148 1817598186435 1938771398864 2423464248580 2908157098296 3635196372870 4846928497160 5816314196592 7270392745740 9693856994320 14540785491480 29081570982960