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3961132136 = 2313314328573
BaseRepresentation
bin1110110000011010…
…0001010001101000
3101020001120100202122
43230012201101220
531103022212021
61453020450412
7200106032123
oct35406412150
911201510678
103961132136
111752a57225
129266a9a08
134b1863290
142981173ba
15182b48bab
hexec1a1468

3961132136 has 64 divisors (see below), whose sum is σ = 8448760320. Its totient is φ = 1728034560.

The previous prime is 3961132121. The next prime is 3961132181. The reversal of 3961132136 is 6312311693.

It is a junction number, because it is equal to n+sod(n) for n = 3961132096 and 3961132105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124346 + ... + 152918.

It is an arithmetic number, because the mean of its divisors is an integer number (132011880).

Almost surely, 23961132136 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 3961132136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224380160).

3961132136 is an abundant number, since it is smaller than the sum of its proper divisors (4487628184).

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

3961132136 is a wasteful number, since it uses less digits than its factorization.

3961132136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666 (or 28662 counting only the distinct ones).

The product of its digits is 17496, while the sum is 35.

The square root of 3961132136 is about 62937.5256583860. The cubic root of 3961132136 is about 1582.2427339641.

The spelling of 3961132136 in words is "three billion, nine hundred sixty-one million, one hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 43 52 62 86 104 124 172 248 344 403 559 806 1118 1333 1612 2236 2666 3224 4472 5332 10664 17329 28573 34658 57146 69316 114292 138632 228584 371449 742898 885763 1228639 1485796 1771526 2457278 2971592 3543052 4914556 7086104 9829112 11514919 15972307 23029838 31944614 38087809 46059676 63889228 76175618 92119352 127778456 152351236 304702472 495141517 990283034 1980566068 3961132136