Search a number
-
+
76539453568 = 276727132933
BaseRepresentation
bin100011101001000011…
…0110110000010000000
321022120011111002201121
41013102012312002000
52223223100003233
655054534042024
75346501422644
oct1072206660200
9238504432647
1076539453568
112a507587356
1212a00aa9314
1372aa2003c6
1439c132ac24
151ece7a692d
hex11d21b6080

76539453568 has 64 divisors (see below), whose sum is σ = 155332552320. Its totient is φ = 37558287360.

The previous prime is 76539453511. The next prime is 76539453593. The reversal of 76539453568 is 86535493567.

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, 2307630 + ... + 2340562.

It is an arithmetic number, because the mean of its divisors is an integer number (2427071130).

Almost surely, 276539453568 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 76539453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77666276160).

76539453568 is an abundant number, since it is smaller than the sum of its proper divisors (78793098752).

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

76539453568 is a wasteful number, since it uses less digits than its factorization.

76539453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33285 (or 33273 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 61.

The spelling of 76539453568 in words is "seventy-six billion, five hundred thirty-nine million, four hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 271 536 542 1072 1084 2144 2168 4288 4336 8576 8672 17344 18157 32933 34688 36314 65866 72628 131732 145256 263464 290512 526928 581024 1053856 1162048 2107712 2206511 2324096 4215424 4413022 8826044 8924843 17652088 17849686 35304176 35699372 70608352 71398744 141216704 142797488 282433408 285594976 571189952 597964481 1142379904 1195928962 2391857924 4783715848 9567431696 19134863392 38269726784 76539453568