Search a number
-
+
3977069229056 = 210721131731113
BaseRepresentation
bin111001110111111011110…
…011000111010000000000
3112002012111210101211202102
4321313323303013100000
51010130014210312211
612243012420005532
7560222324446400
oct71677363072000
915065453354672
103977069229056
1112a3735997000
125429485308a8
1322b061198211
14da6c3b12800
156d6bccc2a3b
hex39dfbcc7400

3977069229056 has 1056 divisors, whose sum is σ = 11216596829184. Its totient is φ = 1398826598400.

The previous prime is 3977069229043. The next prime is 3977069229103. The reversal of 3977069229056 is 6509229607793.

It is a super-2 number, since 2×39770692290562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3977069228983 and 3977069229001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35195302856 + ... + 35195302968.

Almost surely, 23977069229056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3977069229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608298414592).

3977069229056 is an abundant number, since it is smaller than the sum of its proper divisors (7239527600128).

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

3977069229056 is a wasteful number, since it uses less digits than its factorization.

3977069229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 65.

The spelling of 3977069229056 in words is "three trillion, nine hundred seventy-seven billion, sixty-nine million, two hundred twenty-nine thousand, fifty-six".