Search a number
-
+
49545045090 = 2335541339187
BaseRepresentation
bin101110001001000111…
…010110010001100010
311201212212202001211000
4232021013112101202
51302432012420330
634432150132430
73402525635412
oct561107262142
9151785661730
1049545045090
111a014982762
129728651116
134897729938
142580142642
15144e978560
hexb891d6462

49545045090 has 64 divisors (see below), whose sum is σ = 132364725120. Its totient is φ = 13187551680.

The previous prime is 49545045083. The next prime is 49545045097. The reversal of 49545045090 is 9054054594.

49545045090 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 504 + 50 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (49545045083) and next prime (49545045097).

It is a super-2 number, since 2×495450450902 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49545045097) 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, 23524 + ... + 315663.

It is an arithmetic number, because the mean of its divisors is an integer number (2068198830).

Almost surely, 249545045090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49545045090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66182362560).

49545045090 is an abundant number, since it is smaller than the sum of its proper divisors (82819680030).

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

49545045090 is a wasteful number, since it uses less digits than its factorization.

49545045090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339744 (or 339738 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

It can be divided in two parts, 4954504 and 5090, that added together give a palindrome (4959594).

The spelling of 49545045090 in words is "forty-nine billion, five hundred forty-five million, forty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 541 1082 1623 2705 3246 4869 5410 8115 9738 14607 16230 24345 29214 48690 73035 146070 339187 678374 1017561 1695935 2035122 3052683 3391870 5087805 6105366 9158049 10175610 15263415 18316098 30526830 45790245 91580490 183500167 367000334 550500501 917500835 1101001002 1651501503 1835001670 2752502505 3303003006 4954504509 5505005010 8257507515 9909009018 16515015030 24772522545 49545045090