Search a number
-
+
107547316064 = 25191571126669
BaseRepresentation
bin110010000101001010…
…0011100111101100000
3101021121011020201112022
41210022110130331200
53230224103103224
6121223452121012
710525060050266
oct1441224347540
9337534221468
10107547316064
11416797243a1
1218a15466168
13a1ac326336
1452c356c436
152be6b1665e
hex190a51cf60

107547316064 has 48 divisors (see below), whose sum is σ = 224297463600. Its totient is φ = 50618939904.

The previous prime is 107547316033. The next prime is 107547316069. The reversal of 107547316064 is 460613745701.

It is a super-3 number, since 3×1075473160643 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107547316069) 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, 467879 + ... + 658790.

It is an arithmetic number, because the mean of its divisors is an integer number (4672863825).

Almost surely, 2107547316064 is an apocalyptic number.

It is an amenable number.

107547316064 is an abundant number, since it is smaller than the sum of its proper divisors (116750147536).

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

107547316064 is a wasteful number, since it uses less digits than its factorization.

107547316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126855 (or 1126847 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 107547316064 in words is "one hundred seven billion, five hundred forty-seven million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 157 304 314 608 628 1256 2512 2983 5024 5966 11932 23864 47728 95456 1126669 2253338 4506676 9013352 18026704 21406711 36053408 42813422 85626844 171253688 176887033 342507376 353774066 685014752 707548132 1415096264 2830192528 3360853627 5660385056 6721707254 13443414508 26886829016 53773658032 107547316064