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13551314100480 = 2834513192971257
BaseRepresentation
bin1100010100110010100101…
…0000110110000100000000
31202222111022101020122010000
43011030221100312010000
53234011042402203410
644453215431040000
72566023124212402
oct305145120660400
952874271218100
1013551314100480
1143550975893a2
12162a403810000
13773b63ba9c50
1434bc5c2cab72
1518777a1d7dc0
hexc5329436100

13551314100480 has 2880 divisors, whose sum is σ = 57888061862400. Its totient is φ = 2996494663680.

The previous prime is 13551314100463. The next prime is 13551314100497. The reversal of 13551314100480 is 8400141315531.

13551314100480 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 131 + 41 + 0 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (13551314100463) and next prime (13551314100497).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×135513141004802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 52728848512 + ... + 52728848768.

It is an arithmetic number, because the mean of its divisors is an integer number (20100021480).

Almost surely, 213551314100480 is an apocalyptic number.

13551314100480 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 13551314100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28944030931200).

13551314100480 is an abundant number, since it is smaller than the sum of its proper divisors (44336747761920).

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

13551314100480 is a wasteful number, since it uses less digits than its factorization.

13551314100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13551314100480 in words is "thirteen trillion, five hundred fifty-one billion, three hundred fourteen million, one hundred thousand, four hundred eighty".