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2946986136 = 2332235333577
BaseRepresentation
bin1010111110100111…
…0111000010011000
321121101021101222200
42233221313002120
522013412024021
61204232050200
7133012653213
oct25751670230
97541241880
102946986136
111282551336
126a2b33960
1337c7123a3
141dd56677a
15123ac1126
hexafa77098

2946986136 has 96 divisors (see below), whose sum is σ = 8485832160. Its totient is φ = 921862656.

The previous prime is 2946986117. The next prime is 2946986143. The reversal of 2946986136 is 6316896492.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70980 + ... + 104556.

It is an arithmetic number, because the mean of its divisors is an integer number (88394085).

Almost surely, 22946986136 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 2946986136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242916080).

2946986136 is an abundant number, since it is smaller than the sum of its proper divisors (5538846024).

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

2946986136 is a wasteful number, since it uses less digits than its factorization.

2946986136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33665 (or 33658 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2946986136 is about 54286.1504989993. The cubic root of 2946986136 is about 1433.7035620268.

The spelling of 2946986136 in words is "two billion, nine hundred forty-six million, nine hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 552 636 828 954 1219 1272 1656 1908 2438 3657 3816 4876 7314 9752 10971 14628 21942 29256 33577 43884 67154 87768 100731 134308 201462 268616 302193 402924 604386 772271 805848 1208772 1544542 1779581 2316813 2417544 3089084 3559162 4633626 5338743 6178168 6950439 7118324 9267252 10677486 13900878 14236648 16016229 18534504 21354972 27801756 32032458 40930363 42709944 55603512 64064916 81860726 122791089 128129832 163721452 245582178 327442904 368373267 491164356 736746534 982328712 1473493068 2946986136