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5407132122 = 2327371517681
BaseRepresentation
bin1010000100100101…
…00100100111011010
3111221211110202211200
411002102210213122
542033211211442
62252313335030
7250664602410
oct50222444732
914854422750
105407132122
112325204437
12106aa07476
136822c9582
143941a12b0
15219a7834c
hex1424a49da

5407132122 has 96 divisors (see below), whose sum is σ = 13843824384. Its totient is φ = 1492992000.

The previous prime is 5407132097. The next prime is 5407132141. The reversal of 5407132122 is 2212317045.

5407132122 is a `hidden beast` number, since 5 + 407 + 132 + 122 = 666.

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, 700122 + ... + 707802.

It is an arithmetic number, because the mean of its divisors is an integer number (144206504).

Almost surely, 25407132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5407132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921912192).

5407132122 is an abundant number, since it is smaller than the sum of its proper divisors (8436692262).

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

5407132122 is a wasteful number, since it uses less digits than its factorization.

5407132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5407132122 is about 73533.2042141508. The cubic root of 5407132122 is about 1755.1826902131.

Adding to 5407132122 its reverse (2212317045), we get a palindrome (7619449167).

The spelling of 5407132122 in words is "five billion, four hundred seven million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 151 222 259 302 333 453 518 666 777 906 1057 1359 1554 2114 2331 2718 3171 4662 5587 6342 7681 9513 11174 15362 16761 19026 23043 33522 39109 46086 50283 53767 69129 78218 100566 107534 117327 138258 161301 234654 284197 322602 351981 483903 568394 703962 852591 967806 1159831 1705182 1989379 2319662 2557773 3479493 3978758 5115546 5968137 6958986 8118817 10438479 11936274 16237634 17904411 20876958 24356451 35808822 42913747 48712902 73069353 85827494 128741241 146138706 257482482 300396229 386223723 600792458 772447446 901188687 1802377374 2703566061 5407132122