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13370618960 = 2453719922699
BaseRepresentation
bin11000111001111001…
…10111010001010000
31021111211011211002122
430130330313101100
5204340334301320
610050430433412
7652223246246
oct143474672120
937454154078
1013370618960
115741402a16
122711962868
1313510c6c6a
1490ba82796
15533c5ed25
hex31cf37450

13370618960 has 80 divisors (see below), whose sum is σ = 32088720000. Its totient is φ = 5177323008.

The previous prime is 13370618941. The next prime is 13370618969. The reversal of 13370618960 is 6981607331.

13370618960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133706189602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13370618969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577691 + ... + 600389.

It is an arithmetic number, because the mean of its divisors is an integer number (401109000).

Almost surely, 213370618960 is an apocalyptic number.

13370618960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13370618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044360000).

13370618960 is an abundant number, since it is smaller than the sum of its proper divisors (18718101040).

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

13370618960 is a wasteful number, since it uses less digits than its factorization.

13370618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22948 (or 22942 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 13370618960 in words is "thirteen billion, three hundred seventy million, six hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 199 296 370 398 592 740 796 995 1480 1592 1990 2960 3184 3980 7363 7960 14726 15920 22699 29452 36815 45398 58904 73630 90796 113495 117808 147260 181592 226990 294520 363184 453980 589040 839863 907960 1679726 1815920 3359452 4199315 4517101 6718904 8398630 9034202 13437808 16797260 18068404 22585505 33594520 36136808 45171010 67189040 72273616 90342020 167132737 180684040 334265474 361368080 668530948 835663685 1337061896 1671327370 2674123792 3342654740 6685309480 13370618960