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3977813718060 = 22357131953723473
BaseRepresentation
bin111001111000101000001…
…011000111010000101100
3112002021102200021210200020
4321320220023013100230
51010133030302434220
612243214333002140
7560246634503310
oct71705013072054
915067380253606
103977813718060
1112a3a88162676
12542b15923350
1322b14c4b3460
14da75494bb40
156d713332040
hex39e282c742c

3977813718060 has 384 divisors, whose sum is σ = 14701917726720. Its totient is φ = 780099600384.

The previous prime is 3977813718031. The next prime is 3977813718101. The reversal of 3977813718060 is 608173187793.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3977813717985 and 3977813718003.

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 127 ways as a sum of consecutive naturals, for example, 5136484 + ... + 5859956.

It is an arithmetic number, because the mean of its divisors is an integer number (38286244080).

Almost surely, 23977813718060 is an apocalyptic number.

3977813718060 is a gapful number since it is divisible by the number (30) 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 3977813718060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350958863360).

3977813718060 is an abundant number, since it is smaller than the sum of its proper divisors (10724104008660).

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

3977813718060 is a wasteful number, since it uses less digits than its factorization.

3977813718060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723577 (or 723575 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 3977813718060 in words is "three trillion, nine hundred seventy-seven billion, eight hundred thirteen million, seven hundred eighteen thousand, sixty".