Search a number
-
+
49374658560 = 215351719311
BaseRepresentation
bin101101111110111101…
…011000000000000000
311201110000010112102210
4231332331120000000
51302104403033220
634403222142120
73365356446603
oct557675300000
9151400115383
1049374658560
1119a37786847
12969b581940
13486b3406c6
14256566c33a
15143ea1d6e0
hexb7ef58000

49374658560 has 512 divisors, whose sum is σ = 176661388800. Its totient is φ = 11702108160.

The previous prime is 49374658559. The next prime is 49374658561. The reversal of 49374658560 is 6585647394.

It is an interprime number because it is at equal distance from previous prime (49374658559) and next prime (49374658561).

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 49374658560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49374658561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158760805 + ... + 158761115.

It is an arithmetic number, because the mean of its divisors is an integer number (345041775).

Almost surely, 249374658560 is an apocalyptic number.

49374658560 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 49374658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88330694400).

49374658560 is an abundant number, since it is smaller than the sum of its proper divisors (127286730240).

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

49374658560 is a wasteful number, since it uses less digits than its factorization.

49374658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 49374658560 in words is "forty-nine billion, three hundred seventy-four million, six hundred fifty-eight thousand, five hundred sixty".