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13413002346 = 23217711793449
BaseRepresentation
bin11000111110111101…
…00010110001101010
31021121202221010011200
430133132202301222
5204432212033341
610054543105030
7653246432052
oct143736426152
937552833150
1013413002346
115763321207
122723ba2176
131359b165a3
14913556562
15537832db6
hex31f7a2c6a

13413002346 has 96 divisors (see below), whose sum is σ = 31387824000. Its totient is φ = 4124359680.

The previous prime is 13413002333. The next prime is 13413002381. The reversal of 13413002346 is 64320031431.

13413002346 is a `hidden beast` number, since 13 + 4 + 1 + 300 + 2 + 346 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887230 + ... + 3890678.

It is an arithmetic number, because the mean of its divisors is an integer number (326956500).

Almost surely, 213413002346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413002346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15693912000).

13413002346 is an abundant number, since it is smaller than the sum of its proper divisors (17974821654).

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

13413002346 is a wasteful number, since it uses less digits than its factorization.

13413002346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13413002346 its reverse (64320031431), we get a palindrome (77733033777).

The spelling of 13413002346 in words is "thirteen billion, four hundred thirteen million, two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 179 213 306 358 426 537 639 1074 1207 1278 1611 2414 3043 3222 3449 3621 6086 6898 7242 9129 10347 10863 12709 18258 20694 21726 25418 27387 31041 38127 54774 58633 62082 76254 114381 117266 175899 216053 228762 244879 351798 432106 489758 527697 617371 648159 734637 1055394 1234742 1296318 1469274 1852113 1944477 2203911 3704226 3888954 4162943 4407822 5556339 8325886 10495307 11112678 12488829 20990614 24977658 31485921 37466487 43833341 62971842 74932974 87666682 94457763 131500023 188915526 263000046 394500069 745166797 789000138 1490333594 2235500391 4471000782 6706501173 13413002346