Search a number
-
+
36831146016 = 253754808253
BaseRepresentation
bin100010010011010011…
…101011000000100000
310112001211022002001010
4202103103223000200
51100412233133031
624530415140520
72442465401310
oct422323530040
9115054262033
1036831146016
1114690249155
12717a814740
13361c6ca532
141ad57ad440
15e586dc246
hex8934eb020

36831146016 has 48 divisors (see below), whose sum is σ = 110493440064. Its totient is φ = 10523184384.

The previous prime is 36831146003. The next prime is 36831146029. The reversal of 36831146016 is 61064113863.

It is an interprime number because it is at equal distance from previous prime (36831146003) and next prime (36831146029).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 27403455 + ... + 27404798.

It is an arithmetic number, because the mean of its divisors is an integer number (2301946668).

Almost surely, 236831146016 is an apocalyptic number.

It is an amenable number.

36831146016 is an abundant number, since it is smaller than the sum of its proper divisors (73662294048).

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

36831146016 is a wasteful number, since it uses less digits than its factorization.

36831146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54808273 (or 54808265 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 36831146016 its reverse (61064113863), we get a palindrome (97895259879).

The spelling of 36831146016 in words is "thirty-six billion, eight hundred thirty-one million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 54808253 109616506 164424759 219233012 328849518 383657771 438466024 657699036 767315542 876932048 1150973313 1315398072 1534631084 1753864096 2301946626 2630796144 3069262168 4603893252 5261592288 6138524336 9207786504 12277048672 18415573008 36831146016