Search a number
-
+
3978423660736 = 267295919492663
BaseRepresentation
bin111001111001001100100…
…001110111000011000000
3112002100000012000002201201
4321321030201313003000
51010140302424120421
612243355042110544
7560301022102660
oct71711441670300
915070005002651
103978423660736
1112a4270491628
1254306604b454
1322b218980795
14da7b19621a0
156d74bb65b91
hex39e4c8770c0

3978423660736 has 224 divisors, whose sum is σ = 9500250240000. Its totient is φ = 1616904081408.

The previous prime is 3978423660713. The next prime is 3978423660797. The reversal of 3978423660736 is 6370663248793.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

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 31 ways as a sum of consecutive naturals, for example, 1493961741 + ... + 1493964403.

Almost surely, 23978423660736 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 3978423660736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750125120000).

3978423660736 is an abundant number, since it is smaller than the sum of its proper divisors (5521826579264).

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

3978423660736 is a wasteful number, since it uses less digits than its factorization.

3978423660736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 64.

The spelling of 3978423660736 in words is "three trillion, nine hundred seventy-eight billion, four hundred twenty-three million, six hundred sixty thousand, seven hundred thirty-six".