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13803050166480 = 24335172917597369
BaseRepresentation
bin1100100011011100010111…
…1001101110100011010000
31210212120002022001210002000
43020313011321232203100
53302122121320311410
645205011140354000
72623144310366151
oct310670571564320
953776068053060
1013803050166480
114441927a79733
12166b1596a5900
13791811832413
1435a0dd4d1928
1518e0b062bdc0
hexc8dc5e6e8d0

13803050166480 has 640 divisors, whose sum is σ = 52113093120000. Its totient is φ = 3342481293312.

The previous prime is 13803050166421. The next prime is 13803050166491. The reversal of 13803050166480 is 8466105030831.

13803050166480 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 3 + 0 + 5 + 0 + 166 + 480 = 666.

13803050166480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1873120236 + ... + 1873127604.

It is an arithmetic number, because the mean of its divisors is an integer number (81426708000).

Almost surely, 213803050166480 is an apocalyptic number.

13803050166480 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 13803050166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26056546560000).

13803050166480 is an abundant number, since it is smaller than the sum of its proper divisors (38310042953520).

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

13803050166480 is a wasteful number, since it uses less digits than its factorization.

13803050166480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13803050166480 in words is "thirteen trillion, eight hundred three billion, fifty million, one hundred sixty-six thousand, four hundred eighty".