Search a number
-
+
86002758272 = 2710713814547
BaseRepresentation
bin101000000011000101…
…0011111001010000000
322012222200100210022102
41100012022133022000
52402113201231042
6103301545325532
76133141245404
oct1200612371200
9265880323272
1086002758272
1133523351232
12148021968a8
1381579581a2
14423c0a5104
15238549db32
hex140629f280

86002758272 has 64 divisors (see below), whose sum is σ = 173098153440. Its totient is φ = 42559288320.

The previous prime is 86002758269. The next prime is 86002758293. The reversal of 86002758272 is 27285720068.

It is a tau number, because it is divible by the number of its divisors (64).

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, 18911903 + ... + 18916449.

Almost surely, 286002758272 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 86002758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86549076720).

86002758272 is an abundant number, since it is smaller than the sum of its proper divisors (87095395168).

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

86002758272 is a wasteful number, since it uses less digits than its factorization.

86002758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 86002758272 in words is "eighty-six billion, two million, seven hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1381 1712 2762 3424 4547 5524 6848 9094 11048 13696 18188 22096 36376 44192 72752 88384 145504 147767 176768 291008 295534 486529 582016 591068 973058 1182136 1946116 2364272 3892232 4728544 6279407 7784464 9457088 12558814 15568928 18914176 25117628 31137856 50235256 62275712 100470512 200941024 401882048 671896549 803764096 1343793098 2687586196 5375172392 10750344784 21500689568 43001379136 86002758272