Search a number
-
+
45429789471360 = 273572482884667
BaseRepresentation
bin10100101010001011100100…
…11101101011001010000000
312221212001020010202110002120
422111011302131223022000
521423310202101040420
6240342053540444240
712366123351040500
oct1225056235531200
9187761203673076
1045429789471360
1113525735893748
1251187206a9680
131c4701a85c798
14b30b56509a00
1553baee226d40
hex29517276b280

45429789471360 has 192 divisors, whose sum is σ = 168449487585120. Its totient is φ = 10383951857664.

The previous prime is 45429789471359. The next prime is 45429789471361. The reversal of 45429789471360 is 6317498792454.

It is an interprime number because it is at equal distance from previous prime (45429789471359) and next prime (45429789471361).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (45429789471361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241348254 + ... + 241536413.

It is a 1-persistent number, because it is pandigital, but 2⋅45429789471360 = 90859578942720 is not.

Almost surely, 245429789471360 is an apocalyptic number.

45429789471360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45429789471360 is an abundant number, since it is smaller than the sum of its proper divisors (123019698113760).

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

45429789471360 is a wasteful number, since it uses less digits than its factorization.

45429789471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482884703 (or 482884684 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 45429789471360 in words is "forty-five trillion, four hundred twenty-nine billion, seven hundred eighty-nine million, four hundred seventy-one thousand, three hundred sixty".