Search a number
-
+
45232436396160 = 273351337197173
BaseRepresentation
bin10100100100011011111110…
…10011011100000010000000
312221011011211021010110211000
422102031333103130002000
521412042012204134120
6240111254443252000
712345635640423426
oct1222157723340200
9187134737113730
1045232436396160
1113459a72158302
1250a642351a000
131c31528a33000
14b25393ba3116
155368ed351990
hex29237f4dc080

45232436396160 has 2048 divisors, whose sum is σ = 178828280064000. Its totient is φ = 10801352540160.

The previous prime is 45232436396153. The next prime is 45232436396201. The reversal of 45232436396160 is 6169363423254.

45232436396160 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 243 + 6 + 396 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45232436396097 and 45232436396106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 261459169834 + ... + 261459170006.

It is an arithmetic number, because the mean of its divisors is an integer number (87318496125).

Almost surely, 245232436396160 is an apocalyptic number.

45232436396160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45232436396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89414140032000).

45232436396160 is an abundant number, since it is smaller than the sum of its proper divisors (133595843667840).

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

45232436396160 is a wasteful number, since it uses less digits than its factorization.

45232436396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 45232436396160 in words is "forty-five trillion, two hundred thirty-two billion, four hundred thirty-six million, three hundred ninety-six thousand, one hundred sixty".