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13398520922500 = 225472732416217
BaseRepresentation
bin1100001011111001011000…
…0101001000000110000100
31202102212220221220222101011
43002332112011020012010
53224010132324010000
644255110123012004
72552003560505200
oct302762605100604
952385827828334
1013398520922500
1142a630a84229a
12160488166a004
13762623a4b76c
143446c59adb00
151837d62ba2ba
hexc2f96148184

13398520922500 has 360 divisors, whose sum is σ = 34699381437336. Its totient is φ = 4511324160000.

The previous prime is 13398520922453. The next prime is 13398520922543. The reversal of 13398520922500 is 522902589331.

It can be written as a sum of positive squares in 20 ways, for example, as 11385482080644 + 2013038841856 = 3374238^2 + 1418816^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2155139392 + ... + 2155145608.

Almost surely, 213398520922500 is an apocalyptic number.

13398520922500 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 13398520922500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349690718668).

13398520922500 is an abundant number, since it is smaller than the sum of its proper divisors (21300860514836).

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

13398520922500 is a wasteful number, since it uses less digits than its factorization.

13398520922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 13398520922500 in words is "thirteen trillion, three hundred ninety-eight billion, five hundred twenty million, nine hundred twenty-two thousand, five hundred".