Search a number
-
+
49644675360 = 2533572234527
BaseRepresentation
bin101110001111000011…
…011010000100100000
311202010211012210212000
4232033003122010200
51303133014102420
634450105404000
73405145530600
oct561703320440
9152124183760
1049644675360
111a066141425
129755a99600
1348b2271067
14258d478c00
1514585a8690
hexb8f0da120

49644675360 has 288 divisors, whose sum is σ = 202125611520. Its totient is φ = 11347305984.

The previous prime is 49644675343. The next prime is 49644675397. The reversal of 49644675360 is 6357644694.

It is a happy number.

49644675360 is a `hidden beast` number, since 4 + 9 + 6 + 44 + 67 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×496446753602 (a number of 22 digits) contains 22 as substring.

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 = 49644675297 and 49644675306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94417 + ... + 328943.

It is an arithmetic number, because the mean of its divisors is an integer number (701825040).

Almost surely, 249644675360 is an apocalyptic number.

49644675360 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 49644675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101062805760).

49644675360 is an abundant number, since it is smaller than the sum of its proper divisors (152480936160).

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

49644675360 is a wasteful number, since it uses less digits than its factorization.

49644675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234565 (or 234544 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

It can be divided in two parts, 496 and 44675360, that added together give a square (44675856 = 66842).

The spelling of 49644675360 in words is "forty-nine billion, six hundred forty-four million, six hundred seventy-five thousand, three hundred sixty".