Search a number
-
+
5146044435 = 325731013301
BaseRepresentation
bin1001100101011101…
…00110100000010011
3111021122012010212100
410302232212200103
541014341410220
62210345331443
7241344441000
oct46256464023
914248163770
105146044435
112200898394
12bb7496b83
136401a420c
1436b63a8a7
15201ba3d90
hex132ba6813

5146044435 has 96 divisors (see below), whose sum is σ = 10508284800. Its totient is φ = 2328480000.

The previous prime is 5146044433. The next prime is 5146044469. The reversal of 5146044435 is 5344406415.

5146044435 is a `hidden beast` number, since 5 + 1 + 4 + 604 + 4 + 43 + 5 = 666.

It is not a de Polignac number, because 5146044435 - 21 = 5146044433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5146044435.

It is not an unprimeable number, because it can be changed into a prime (5146044433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1557285 + ... + 1560585.

It is an arithmetic number, because the mean of its divisors is an integer number (109461300).

Almost surely, 25146044435 is an apocalyptic number.

5146044435 is an abundant number, since it is smaller than the sum of its proper divisors (5362240365).

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

5146044435 is a wasteful number, since it uses less digits than its factorization.

5146044435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5146044435 is about 71735.9354507906. The cubic root of 5146044435 is about 1726.4652603729.

The spelling of 5146044435 in words is "five billion, one hundred forty-six million, forty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 101 105 147 245 303 315 343 441 505 707 735 909 1029 1515 1715 2121 2205 3087 3301 3535 4545 4949 5145 6363 9903 10605 14847 15435 16505 23107 24745 29709 31815 34643 44541 49515 69321 74235 103929 115535 148545 161749 173215 207963 222705 311787 333401 346605 485247 519645 808745 1000203 1039815 1132243 1455741 1558935 1667005 2333807 2426235 3000609 3396729 5001015 5661215 7001421 7278705 10190187 11669035 15003045 16336649 16983645 21004263 35007105 49009947 50950935 81683245 105021315 114356543 147029841 245049735 343069629 571782715 735149205 1029208887 1715348145 5146044435