Search a number
-
+
77134443168 = 2537111316673
BaseRepresentation
bin100011111010110010…
…0100011001010100000
321101002122001201000110
41013311210203022200
52230432404140133
655233550451320
75400314643336
oct1076544431240
9241078051013
1077134443168
112a7924228a2
1212b48203b40
137373563563
143a3a36bb56
152016b34c63
hex11f59232a0

77134443168 has 48 divisors (see below), whose sum is σ = 205329733056. Its totient is φ = 25349345280.

The previous prime is 77134443161. The next prime is 77134443181. The reversal of 77134443168 is 86134443177.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (77134443161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5651521 + ... + 5665152.

It is an arithmetic number, because the mean of its divisors is an integer number (4277702772).

Almost surely, 277134443168 is an apocalyptic number.

It is an amenable number.

77134443168 is an abundant number, since it is smaller than the sum of its proper divisors (128195289888).

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

77134443168 is a wasteful number, since it uses less digits than its factorization.

77134443168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316757 (or 11316749 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

Subtracting 77134443168 from its reverse (86134443177), we obtain a palindrome (9000000009).

The spelling of 77134443168 in words is "seventy-seven billion, one hundred thirty-four million, four hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 11316673 22633346 33950019 45266692 67900038 90533384 135800076 181066768 271600152 362133536 543200304 803483783 1086400608 1606967566 2410451349 3213935132 4820902698 6427870264 9641805396 12855740528 19283610792 25711481056 38567221584 77134443168