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13374883080 = 23335132127577
BaseRepresentation
bin11000111010011010…
…01000010100001000
31021112010012110101000
430131031020110020
5204342432224310
610051102055000
7652304426136
oct143515102410
937463173330
1013374883080
115743855689
12271327a460
131351c5ab00
1490c472756
155343034c0
hex31d348508

13374883080 has 384 divisors, whose sum is σ = 48740659200. Its totient is φ = 3260694528.

The previous prime is 13374883079. The next prime is 13374883097. The reversal of 13374883080 is 8038847331.

13374883080 is a `hidden beast` number, since 1 + 337 + 4 + 8 + 8 + 308 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23179752 + ... + 23180328.

It is an arithmetic number, because the mean of its divisors is an integer number (126928800).

Almost surely, 213374883080 is an apocalyptic number.

13374883080 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 13374883080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24370329600).

13374883080 is an abundant number, since it is smaller than the sum of its proper divisors (35365776120).

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

13374883080 is a wasteful number, since it uses less digits than its factorization.

13374883080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13374883080 in words is "thirteen billion, three hundred seventy-four million, eight hundred eighty-three thousand, eighty".