Search a number
-
+
49215380170320 = 2433572132172331227
BaseRepresentation
bin10110011000010110110010…
…10000001010011001010000
320110020221111110112010111000
423030023121100022121100
522422321044310422240
6252401122235222000
713236460000050600
oct1314133120123120
9213227443463430
1049215380170320
1114755142077a61
12562a32b2a7900
13215ccb4cb0200
14c22073b88c00
155a5311c2a430
hex2cc2d940a650

49215380170320 has 5760 divisors, whose sum is σ = 244606195630080. Its totient is φ = 9006762885120.

The previous prime is 49215380170301. The next prime is 49215380170381. The reversal of 49215380170320 is 2307108351294.

It is a happy number.

49215380170320 is a `hidden beast` number, since 4 + 9 + 2 + 153 + 8 + 0 + 170 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 216807842047 + ... + 216807842273.

It is an arithmetic number, because the mean of its divisors is an integer number (42466353408).

Almost surely, 249215380170320 is an apocalyptic number.

49215380170320 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 49215380170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122303097815040).

49215380170320 is an abundant number, since it is smaller than the sum of its proper divisors (195390815459760).

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

49215380170320 is a wasteful number, since it uses less digits than its factorization.

49215380170320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 49215380170320 in words is "forty-nine trillion, two hundred fifteen billion, three hundred eighty million, one hundred seventy thousand, three hundred twenty".