Search a number
-
+
8497012704 = 253313777167
BaseRepresentation
bin1111110100111011…
…00001111111100000
3210221011121222011020
413322131201333200
5114400213401304
63523052245440
7420364262535
oct77235417740
923834558136
108497012704
113670384454
121791770880
13a554c058b
145a86c2d8c
1534ae735d9
hex1fa761fe0

8497012704 has 96 divisors (see below), whose sum is σ = 23646744576. Its totient is φ = 2666856960.

The previous prime is 8497012703. The next prime is 8497012729. The reversal of 8497012704 is 4072107948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8497012703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71529 + ... + 148695.

It is an arithmetic number, because the mean of its divisors is an integer number (246320256).

Almost surely, 28497012704 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 8497012704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823372288).

8497012704 is an abundant number, since it is smaller than the sum of its proper divisors (15149731872).

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

8497012704 is a wasteful number, since it uses less digits than its factorization.

8497012704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77248 (or 77240 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 8497012704 is about 92179.2422620191. The cubic root of 8497012704 is about 2040.5884423185.

The spelling of 8497012704 in words is "eight billion, four hundred ninety-seven million, twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2976 3441 3552 4588 6882 9176 13764 18352 27528 36704 55056 77167 110112 154334 231501 308668 463002 617336 926004 1234672 1852008 2392177 2469344 2855179 3704016 4784354 5710358 7176531 7408032 8565537 9568708 11420716 14353062 17131074 19137416 22841432 28706124 34262148 38274832 45682864 57412248 68524296 76549664 88510549 91365728 114824496 137048592 177021098 229648992 265531647 274097184 354042196 531063294 708084392 1062126588 1416168784 2124253176 2832337568 4248506352 8497012704