Search a number
-
+
3970166508 = 22337111925127
BaseRepresentation
bin1110110010100011…
…1110111011101100
3101020200120100121000
43230220332323230
531112330312013
61453542240300
7200245600320
oct35450767354
911220510530
103970166508
111758067950
12929726090
134b36a7469
142993c9980
15183830973
hexeca3eeec

3970166508 has 192 divisors, whose sum is σ = 13508812800. Its totient is φ = 976898880.

The previous prime is 3970166507. The next prime is 3970166509. The reversal of 3970166508 is 8056610793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3970166507) and next prime (3970166509).

It is not an unprimeable number, because it can be changed into a prime (3970166503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145441 + ... + 170567.

It is an arithmetic number, because the mean of its divisors is an integer number (70358400).

Almost surely, 23970166508 is an apocalyptic number.

3970166508 is a gapful number since it is divisible by the number (38) 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 3970166508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754406400).

3970166508 is an abundant number, since it is smaller than the sum of its proper divisors (9538646292).

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

3970166508 is a wasteful number, since it uses less digits than its factorization.

3970166508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25177 (or 25169 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3970166508 is about 63009.2573198574. The cubic root of 3970166508 is about 1583.4447232979. Note that the first 3 decimals are identical.

The spelling of 3970166508 in words is "three billion, nine hundred seventy million, one hundred sixty-six thousand, five hundred eight".