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3963187980 = 22335107113607
BaseRepresentation
bin1110110000111001…
…0111001100001100
3101020012102210212000
43230032113030030
531104034003410
61453132512300
7200132353623
oct35416271414
911205383760
103963187980
111754130874
1292731b690
134b2102c5b
142984d06ba
15182e02dc0
hexec39730c

3963187980 has 192 divisors, whose sum is σ = 12575969280. Its totient is φ = 1035998208.

The previous prime is 3963187967. The next prime is 3963188051. The reversal of 3963187980 is 897813693.

3963187980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6528837 + ... + 6529443.

It is an arithmetic number, because the mean of its divisors is an integer number (65499840).

Almost surely, 23963187980 is an apocalyptic number.

3963187980 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 3963187980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287984640).

3963187980 is an abundant number, since it is smaller than the sum of its proper divisors (8612781300).

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

3963187980 is a wasteful number, since it uses less digits than its factorization.

3963187980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3963187980 is about 62953.8559581540. The cubic root of 3963187980 is about 1582.5164168015.

The spelling of 3963187980 in words is "three billion, nine hundred sixty-three million, one hundred eighty-seven thousand, nine hundred eighty".