Search a number
-
+
45005135224 = 2377179143281
BaseRepresentation
bin101001111010100000…
…111101110101111000
311022011111002202021011
4221322200331311320
51214132303311344
632401452123304
73152161223530
oct517240756570
9138144082234
1045005135224
11180a5253235
128880166534
134322cbb63a
14226d2084c0
151286104d34
hexa7a83dd78

45005135224 has 64 divisors (see below), whose sum is σ = 99036518400. Its totient is φ = 18775411200.

The previous prime is 45005135209. The next prime is 45005135237. The reversal of 45005135224 is 42253150054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242464 + ... + 385744.

It is an arithmetic number, because the mean of its divisors is an integer number (1547445600).

Almost surely, 245005135224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45005135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49518259200).

45005135224 is an abundant number, since it is smaller than the sum of its proper divisors (54031383176).

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

45005135224 is a wasteful number, since it uses less digits than its factorization.

45005135224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143444 (or 143440 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 45005135224 its reverse (42253150054), we get a palindrome (87258285278).

The spelling of 45005135224 in words is "forty-five billion, five million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 71 79 142 158 284 316 497 553 568 632 994 1106 1988 2212 3976 4424 5609 11218 22436 39263 44872 78526 143281 157052 286562 314104 573124 1002967 1146248 2005934 4011868 8023736 10172951 11319199 20345902 22638398 40691804 45276796 71210657 79234393 81383608 90553592 142421314 158468786 284842628 316937572 569685256 633875144 803663129 1607326258 3214652516 5625641903 6429305032 11251283806 22502567612 45005135224