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13374060987960 = 233251722379263269
BaseRepresentation
bin1100001010011110010000…
…1001111000011000111000
31202100112210022020120002200
43002213210021320120320
53223110034103103320
644235543033430200
72550146461500531
oct302474411703070
952315708216080
1013374060987960
1142969a8848462
1215bbb95b6b360
1376022638790a
1434344524b688
15182d53c27290
hexc29e4278638

13374060987960 has 1152 divisors, whose sum is σ = 49157881344000. Its totient is φ = 3146252009472.

The previous prime is 13374060987953. The next prime is 13374060988031. The reversal of 13374060987960 is 6978906047331.

13374060987960 is a `hidden beast` number, since 13 + 3 + 7 + 4 + 0 + 609 + 8 + 7 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×133740609879602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49717698706 + ... + 49717698974.

It is an arithmetic number, because the mean of its divisors is an integer number (42671772000).

Almost surely, 213374060987960 is an apocalyptic number.

13374060987960 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 13374060987960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578940672000).

13374060987960 is an abundant number, since it is smaller than the sum of its proper divisors (35783820356040).

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

13374060987960 is a wasteful number, since it uses less digits than its factorization.

13374060987960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 13374060987960 in words is "thirteen trillion, three hundred seventy-four billion, sixty million, nine hundred eighty-seven thousand, nine hundred sixty".