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3971483136 = 2935137233
BaseRepresentation
bin1110110010111000…
…0000011000000000
3101020210001020200000
43230232000120000
531113144430021
61454030400000
7200263023015
oct35456003000
911223036600
103971483136
111758887075
1292a060000
134b3a4882a
1429964d70c
151839e0b26
hexecb80600

3971483136 has 240 divisors, whose sum is σ = 12024636624. Its totient is φ = 1308524544.

The previous prime is 3971483111. The next prime is 3971483137. The reversal of 3971483136 is 6313841793.

3971483136 is a `hidden beast` number, since 39 + 7 + 1 + 483 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3971483091 and 3971483100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971483137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17044876 + ... + 17045108.

Almost surely, 23971483136 is an apocalyptic number.

3971483136 is a gapful number since it is divisible by the number (36) 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 3971483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012318312).

3971483136 is an abundant number, since it is smaller than the sum of its proper divisors (8053153488).

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

3971483136 is an equidigital number, since it uses as much as digits as its factorization.

3971483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 375 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3971483136 is about 63019.7043471326. The cubic root of 3971483136 is about 1583.6197434333.

The spelling of 3971483136 in words is "three billion, nine hundred seventy-one million, four hundred eighty-three thousand, one hundred thirty-six".